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Finding the Fourth Proportional to 748, 1,031.46 and 453.16

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Solution

The fourth proportional to 748, 1,031.46 and 453.16 is: 624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    748 : 1,031.46 = 453.16 : x
  2. Step 2: Convert to fraction form
    748/1,031.46 = 453.16/x
  3. Step 3: Cross multiply
    748x = 1,031.46 × 453.16
  4. Step 4: Simplify right side
    748x = 467,416.41
  5. Step 5: Solve for x
    x = 467,416.41/748
  6. Step 6: Final answer
    x = 624.89

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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.