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Finding the Fourth Proportional to 510.04, 763.98 and 292.60

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Solution

The fourth proportional to 510.04, 763.98 and 292.60 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 763.98 = 292.60 : x
  2. Step 2: Convert to fraction form
    510.04/763.98 = 292.60/x
  3. Step 3: Cross multiply
    510.04x = 763.98 × 292.60
  4. Step 4: Simplify right side
    510.04x = 223,540.55
  5. Step 5: Solve for x
    x = 223,540.55/510.04
  6. Step 6: Final answer
    x = 438.28

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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.