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Finding the Fourth Proportional to 969.55, 1,337.47 and 614.87

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Solution

The fourth proportional to 969.55, 1,337.47 and 614.87 is: 848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.55 : 1,337.47 = 614.87 : x
  2. Step 2: Convert to fraction form
    969.55/1,337.47 = 614.87/x
  3. Step 3: Cross multiply
    969.55x = 1,337.47 × 614.87
  4. Step 4: Simplify right side
    969.55x = 822,370.18
  5. Step 5: Solve for x
    x = 822,370.18/969.55
  6. Step 6: Final answer
    x = 848.20

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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.