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Finding the Fourth Proportional to 774.92, 1,162.70 and 433.16

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Solution

The fourth proportional to 774.92, 1,162.70 and 433.16 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,162.70 = 433.16 : x
  2. Step 2: Convert to fraction form
    774.92/1,162.70 = 433.16/x
  3. Step 3: Cross multiply
    774.92x = 1,162.70 × 433.16
  4. Step 4: Simplify right side
    774.92x = 503,635.13
  5. Step 5: Solve for x
    x = 503,635.13/774.92
  6. Step 6: Final answer
    x = 649.92

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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.