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Finding the Fourth Proportional to 1,530.77, 2,296.15 and 665.15

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Solution

The fourth proportional to 1,530.77, 2,296.15 and 665.15 is: 997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.77 : 2,296.15 = 665.15 : x
  2. Step 2: Convert to fraction form
    1,530.77/2,296.15 = 665.15/x
  3. Step 3: Cross multiply
    1,530.77x = 2,296.15 × 665.15
  4. Step 4: Simplify right side
    1,530.77x = 1,527,271.03
  5. Step 5: Solve for x
    x = 1,527,271.03/1,530.77
  6. Step 6: Final answer
    x = 997.72

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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.