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Finding the Fourth Proportional to 737.87, 1,017.90 and 472.16

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Solution

The fourth proportional to 737.87, 1,017.90 and 472.16 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.87 : 1,017.90 = 472.16 : x
  2. Step 2: Convert to fraction form
    737.87/1,017.90 = 472.16/x
  3. Step 3: Cross multiply
    737.87x = 1,017.90 × 472.16
  4. Step 4: Simplify right side
    737.87x = 480,606.57
  5. Step 5: Solve for x
    x = 480,606.57/737.87
  6. Step 6: Final answer
    x = 651.35

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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.