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Finding the Fourth Proportional to 912.40, 1,366.98 and 424.60

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Solution

The fourth proportional to 912.40, 1,366.98 and 424.60 is: 636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.40 : 1,366.98 = 424.60 : x
  2. Step 2: Convert to fraction form
    912.40/1,366.98 = 424.60/x
  3. Step 3: Cross multiply
    912.40x = 1,366.98 × 424.60
  4. Step 4: Simplify right side
    912.40x = 580,419.71
  5. Step 5: Solve for x
    x = 580,419.71/912.40
  6. Step 6: Final answer
    x = 636.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.