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Finding the Fourth Proportional to 953.52, 1,304.16 and 938.40

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Solution

The fourth proportional to 953.52, 1,304.16 and 938.40 is: 1,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.52 : 1,304.16 = 938.40 : x
  2. Step 2: Convert to fraction form
    953.52/1,304.16 = 938.40/x
  3. Step 3: Cross multiply
    953.52x = 1,304.16 × 938.40
  4. Step 4: Simplify right side
    953.52x = 1,223,823.74
  5. Step 5: Solve for x
    x = 1,223,823.74/953.52
  6. Step 6: Final answer
    x = 1,283.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.