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Finding the Fourth Proportional to 748, 1,031.25 and 653.89

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Solution

The fourth proportional to 748, 1,031.25 and 653.89 is: 901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748 : 1,031.25 = 653.89 : x
  2. Step 2: Convert to fraction form
    748/1,031.25 = 653.89/x
  3. Step 3: Cross multiply
    748x = 1,031.25 × 653.89
  4. Step 4: Simplify right side
    748x = 674,324.06
  5. Step 5: Solve for x
    x = 674,324.06/748
  6. Step 6: Final answer
    x = 901.50

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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.