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Finding the Fourth Proportional to 1,084.60, 1,497.28 and 642.64

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Solution

The fourth proportional to 1,084.60, 1,497.28 and 642.64 is: 887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.60 : 1,497.28 = 642.64 : x
  2. Step 2: Convert to fraction form
    1,084.60/1,497.28 = 642.64/x
  3. Step 3: Cross multiply
    1,084.60x = 1,497.28 × 642.64
  4. Step 4: Simplify right side
    1,084.60x = 962,212.02
  5. Step 5: Solve for x
    x = 962,212.02/1,084.60
  6. Step 6: Final answer
    x = 887.16

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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.