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Finding the Fourth Proportional to 756.50, 1,045.31 and 630.27

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Solution

The fourth proportional to 756.50, 1,045.31 and 630.27 is: 870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.50 : 1,045.31 = 630.27 : x
  2. Step 2: Convert to fraction form
    756.50/1,045.31 = 630.27/x
  3. Step 3: Cross multiply
    756.50x = 1,045.31 × 630.27
  4. Step 4: Simplify right side
    756.50x = 658,824.38
  5. Step 5: Solve for x
    x = 658,824.38/756.50
  6. Step 6: Final answer
    x = 870.89

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Why These Related Problems?

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