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Finding the Fourth Proportional to 1,043.15, 1,561.59 and 631.02

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Solution

The fourth proportional to 1,043.15, 1,561.59 and 631.02 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.15 : 1,561.59 = 631.02 : x
  2. Step 2: Convert to fraction form
    1,043.15/1,561.59 = 631.02/x
  3. Step 3: Cross multiply
    1,043.15x = 1,561.59 × 631.02
  4. Step 4: Simplify right side
    1,043.15x = 985,394.52
  5. Step 5: Solve for x
    x = 985,394.52/1,043.15
  6. Step 6: Final answer
    x = 944.64

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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.