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Finding the Fourth Proportional to 509.04, 763.14 and 457.20

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Solution

The fourth proportional to 509.04, 763.14 and 457.20 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 763.14 = 457.20 : x
  2. Step 2: Convert to fraction form
    509.04/763.14 = 457.20/x
  3. Step 3: Cross multiply
    509.04x = 763.14 × 457.20
  4. Step 4: Simplify right side
    509.04x = 348,907.61
  5. Step 5: Solve for x
    x = 348,907.61/509.04
  6. Step 6: Final answer
    x = 685.42

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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.