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Finding the Fourth Proportional to 510.40, 763.56 and 442.68

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Solution

The fourth proportional to 510.40, 763.56 and 442.68 is: 662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 763.56 = 442.68 : x
  2. Step 2: Convert to fraction form
    510.40/763.56 = 442.68/x
  3. Step 3: Cross multiply
    510.40x = 763.56 × 442.68
  4. Step 4: Simplify right side
    510.40x = 338,012.74
  5. Step 5: Solve for x
    x = 338,012.74/510.40
  6. Step 6: Final answer
    x = 662.25

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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.