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Finding the Fourth Proportional to 1,066.52, 1,597.01 and 913.43

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Solution

The fourth proportional to 1,066.52, 1,597.01 and 913.43 is: 1,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.52 : 1,597.01 = 913.43 : x
  2. Step 2: Convert to fraction form
    1,066.52/1,597.01 = 913.43/x
  3. Step 3: Cross multiply
    1,066.52x = 1,597.01 × 913.43
  4. Step 4: Simplify right side
    1,066.52x = 1,458,744.29
  5. Step 5: Solve for x
    x = 1,458,744.29/1,066.52
  6. Step 6: Final answer
    x = 1,367.77

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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.