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Finding the Fourth Proportional to 954.47, 1,431.18 and 492.05

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Solution

The fourth proportional to 954.47, 1,431.18 and 492.05 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.47 : 1,431.18 = 492.05 : x
  2. Step 2: Convert to fraction form
    954.47/1,431.18 = 492.05/x
  3. Step 3: Cross multiply
    954.47x = 1,431.18 × 492.05
  4. Step 4: Simplify right side
    954.47x = 704,215.70
  5. Step 5: Solve for x
    x = 704,215.70/954.47
  6. Step 6: Final answer
    x = 737.81

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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.