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Finding the Fourth Proportional to 756.23, 1,044.00 and 508.85

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Solution

The fourth proportional to 756.23, 1,044.00 and 508.85 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.23 : 1,044.00 = 508.85 : x
  2. Step 2: Convert to fraction form
    756.23/1,044.00 = 508.85/x
  3. Step 3: Cross multiply
    756.23x = 1,044.00 × 508.85
  4. Step 4: Simplify right side
    756.23x = 531,236.86
  5. Step 5: Solve for x
    x = 531,236.86/756.23
  6. Step 6: Final answer
    x = 702.48

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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.