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Finding the Fourth Proportional to 502.52, 756.71 and 373.42

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Solution

The fourth proportional to 502.52, 756.71 and 373.42 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.52 : 756.71 = 373.42 : x
  2. Step 2: Convert to fraction form
    502.52/756.71 = 373.42/x
  3. Step 3: Cross multiply
    502.52x = 756.71 × 373.42
  4. Step 4: Simplify right side
    502.52x = 282,570.65
  5. Step 5: Solve for x
    x = 282,570.65/502.52
  6. Step 6: Final answer
    x = 562.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.