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Finding the Fourth Proportional to 737.60, 1,017.24 and 442.76

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Solution

The fourth proportional to 737.60, 1,017.24 and 442.76 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.60 : 1,017.24 = 442.76 : x
  2. Step 2: Convert to fraction form
    737.60/1,017.24 = 442.76/x
  3. Step 3: Cross multiply
    737.60x = 1,017.24 × 442.76
  4. Step 4: Simplify right side
    737.60x = 450,393.18
  5. Step 5: Solve for x
    x = 450,393.18/737.60
  6. Step 6: Final answer
    x = 610.62

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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.