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Finding the Fourth Proportional to 642.90, 886.65 and 502.80

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Solution

The fourth proportional to 642.90, 886.65 and 502.80 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.90 : 886.65 = 502.80 : x
  2. Step 2: Convert to fraction form
    642.90/886.65 = 502.80/x
  3. Step 3: Cross multiply
    642.90x = 886.65 × 502.80
  4. Step 4: Simplify right side
    642.90x = 445,807.62
  5. Step 5: Solve for x
    x = 445,807.62/642.90
  6. Step 6: Final answer
    x = 693.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.