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Finding the Fourth Proportional to 589.38, 880.32 and 502.32

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Solution

The fourth proportional to 589.38, 880.32 and 502.32 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 880.32 = 502.32 : x
  2. Step 2: Convert to fraction form
    589.38/880.32 = 502.32/x
  3. Step 3: Cross multiply
    589.38x = 880.32 × 502.32
  4. Step 4: Simplify right side
    589.38x = 442,202.34
  5. Step 5: Solve for x
    x = 442,202.34/589.38
  6. Step 6: Final answer
    x = 750.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.