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Finding the Fourth Proportional to 737.96, 1,018.50 and 458.28

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Solution

The fourth proportional to 737.96, 1,018.50 and 458.28 is: 632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.96 : 1,018.50 = 458.28 : x
  2. Step 2: Convert to fraction form
    737.96/1,018.50 = 458.28/x
  3. Step 3: Cross multiply
    737.96x = 1,018.50 × 458.28
  4. Step 4: Simplify right side
    737.96x = 466,758.18
  5. Step 5: Solve for x
    x = 466,758.18/737.96
  6. Step 6: Final answer
    x = 632.50

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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.