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Finding the Fourth Proportional to 954.23, 1,432.17 and 543.78

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Solution

The fourth proportional to 954.23, 1,432.17 and 543.78 is: 816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.23 : 1,432.17 = 543.78 : x
  2. Step 2: Convert to fraction form
    954.23/1,432.17 = 543.78/x
  3. Step 3: Cross multiply
    954.23x = 1,432.17 × 543.78
  4. Step 4: Simplify right side
    954.23x = 778,785.40
  5. Step 5: Solve for x
    x = 778,785.40/954.23
  6. Step 6: Final answer
    x = 816.14

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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.