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Finding the Fourth Proportional to 830.99, 1,245.37 and 440.89

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Solution

The fourth proportional to 830.99, 1,245.37 and 440.89 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.99 : 1,245.37 = 440.89 : x
  2. Step 2: Convert to fraction form
    830.99/1,245.37 = 440.89/x
  3. Step 3: Cross multiply
    830.99x = 1,245.37 × 440.89
  4. Step 4: Simplify right side
    830.99x = 549,071.18
  5. Step 5: Solve for x
    x = 549,071.18/830.99
  6. Step 6: Final answer
    x = 660.74

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Half scale
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Double scale
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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.