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Finding the Fourth Proportional to 738.02, 1,017.92 and 458.39

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Solution

The fourth proportional to 738.02, 1,017.92 and 458.39 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,017.92 = 458.39 : x
  2. Step 2: Convert to fraction form
    738.02/1,017.92 = 458.39/x
  3. Step 3: Cross multiply
    738.02x = 1,017.92 × 458.39
  4. Step 4: Simplify right side
    738.02x = 466,596.97
  5. Step 5: Solve for x
    x = 466,596.97/738.02
  6. Step 6: Final answer
    x = 632.23

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1.5x scale

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.