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Finding the Fourth Proportional to 510.72, 765 and 402.18

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Solution

The fourth proportional to 510.72, 765 and 402.18 is: 602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 765 = 402.18 : x
  2. Step 2: Convert to fraction form
    510.72/765 = 402.18/x
  3. Step 3: Cross multiply
    510.72x = 765 × 402.18
  4. Step 4: Simplify right side
    510.72x = 307,667.70
  5. Step 5: Solve for x
    x = 307,667.70/510.72
  6. Step 6: Final answer
    x = 602.42

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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.