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Finding the Fourth Proportional to 502.06, 751.65 and 463.78

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Solution

The fourth proportional to 502.06, 751.65 and 463.78 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 751.65 = 463.78 : x
  2. Step 2: Convert to fraction form
    502.06/751.65 = 463.78/x
  3. Step 3: Cross multiply
    502.06x = 751.65 × 463.78
  4. Step 4: Simplify right side
    502.06x = 348,600.24
  5. Step 5: Solve for x
    x = 348,600.24/502.06
  6. Step 6: Final answer
    x = 694.34

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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.