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Finding the Fourth Proportional to 763.52, 1,145.12 and 454.40

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Solution

The fourth proportional to 763.52, 1,145.12 and 454.40 is: 681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.52 : 1,145.12 = 454.40 : x
  2. Step 2: Convert to fraction form
    763.52/1,145.12 = 454.40/x
  3. Step 3: Cross multiply
    763.52x = 1,145.12 × 454.40
  4. Step 4: Simplify right side
    763.52x = 520,342.53
  5. Step 5: Solve for x
    x = 520,342.53/763.52
  6. Step 6: Final answer
    x = 681.50

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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.