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Finding the Fourth Proportional to 663.14, 992.46 and 510.14

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Solution

The fourth proportional to 663.14, 992.46 and 510.14 is: 763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 992.46 = 510.14 : x
  2. Step 2: Convert to fraction form
    663.14/992.46 = 510.14/x
  3. Step 3: Cross multiply
    663.14x = 992.46 × 510.14
  4. Step 4: Simplify right side
    663.14x = 506,293.54
  5. Step 5: Solve for x
    x = 506,293.54/663.14
  6. Step 6: Final answer
    x = 763.48

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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.