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Finding the Fourth Proportional to 1,043.12, 1,561.62 and 974.72

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Solution

The fourth proportional to 1,043.12, 1,561.62 and 974.72 is: 1,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.12 : 1,561.62 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,043.12/1,561.62 = 974.72/x
  3. Step 3: Cross multiply
    1,043.12x = 1,561.62 × 974.72
  4. Step 4: Simplify right side
    1,043.12x = 1,522,142.25
  5. Step 5: Solve for x
    x = 1,522,142.25/1,043.12
  6. Step 6: Final answer
    x = 1,459.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.