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Finding the Fourth Proportional to 510.42, 764.99 and 407.28

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Solution

The fourth proportional to 510.42, 764.99 and 407.28 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 764.99 = 407.28 : x
  2. Step 2: Convert to fraction form
    510.42/764.99 = 407.28/x
  3. Step 3: Cross multiply
    510.42x = 764.99 × 407.28
  4. Step 4: Simplify right side
    510.42x = 311,565.13
  5. Step 5: Solve for x
    x = 311,565.13/510.42
  6. Step 6: Final answer
    x = 610.41

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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.