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Finding the Fourth Proportional to 954.20, 1,432.19 and 492.30

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Solution

The fourth proportional to 954.20, 1,432.19 and 492.30 is: 738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.20 : 1,432.19 = 492.30 : x
  2. Step 2: Convert to fraction form
    954.20/1,432.19 = 492.30/x
  3. Step 3: Cross multiply
    954.20x = 1,432.19 × 492.30
  4. Step 4: Simplify right side
    954.20x = 705,068.37
  5. Step 5: Solve for x
    x = 705,068.37/954.20
  6. Step 6: Final answer
    x = 738.91

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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.