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Finding the Fourth Proportional to 748.47, 1,032.02 and 608.16

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Solution

The fourth proportional to 748.47, 1,032.02 and 608.16 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.47 : 1,032.02 = 608.16 : x
  2. Step 2: Convert to fraction form
    748.47/1,032.02 = 608.16/x
  3. Step 3: Cross multiply
    748.47x = 1,032.02 × 608.16
  4. Step 4: Simplify right side
    748.47x = 627,630.24
  5. Step 5: Solve for x
    x = 627,630.24/748.47
  6. Step 6: Final answer
    x = 838.55

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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.