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Finding the Fourth Proportional to 510.04, 763.94 and 327.16

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Solution

The fourth proportional to 510.04, 763.94 and 327.16 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 763.94 = 327.16 : x
  2. Step 2: Convert to fraction form
    510.04/763.94 = 327.16/x
  3. Step 3: Cross multiply
    510.04x = 763.94 × 327.16
  4. Step 4: Simplify right side
    510.04x = 249,930.61
  5. Step 5: Solve for x
    x = 249,930.61/510.04
  6. Step 6: Final answer
    x = 490.02

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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.