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Finding the Fourth Proportional to 750.09, 1,125.41 and 508.89

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Solution

The fourth proportional to 750.09, 1,125.41 and 508.89 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 1,125.41 = 508.89 : x
  2. Step 2: Convert to fraction form
    750.09/1,125.41 = 508.89/x
  3. Step 3: Cross multiply
    750.09x = 1,125.41 × 508.89
  4. Step 4: Simplify right side
    750.09x = 572,707.35
  5. Step 5: Solve for x
    x = 572,707.35/750.09
  6. Step 6: Final answer
    x = 763.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.