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Finding the Fourth Proportional to 510.52, 763.89 and 305.23

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Solution

The fourth proportional to 510.52, 763.89 and 305.23 is: 456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 763.89 = 305.23 : x
  2. Step 2: Convert to fraction form
    510.52/763.89 = 305.23/x
  3. Step 3: Cross multiply
    510.52x = 763.89 × 305.23
  4. Step 4: Simplify right side
    510.52x = 233,162.14
  5. Step 5: Solve for x
    x = 233,162.14/510.52
  6. Step 6: Final answer
    x = 456.72

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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.