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Finding the Fourth Proportional to 1,749.02, 2,624.36 and 774.99

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Solution

The fourth proportional to 1,749.02, 2,624.36 and 774.99 is: 1,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.02 : 2,624.36 = 774.99 : x
  2. Step 2: Convert to fraction form
    1,749.02/2,624.36 = 774.99/x
  3. Step 3: Cross multiply
    1,749.02x = 2,624.36 × 774.99
  4. Step 4: Simplify right side
    1,749.02x = 2,033,848.88
  5. Step 5: Solve for x
    x = 2,033,848.88/1,749.02
  6. Step 6: Final answer
    x = 1,162.85

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.