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Finding the Fourth Proportional to 1,034.80, 1,428.15 and 592.72

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Solution

The fourth proportional to 1,034.80, 1,428.15 and 592.72 is: 818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.80 : 1,428.15 = 592.72 : x
  2. Step 2: Convert to fraction form
    1,034.80/1,428.15 = 592.72/x
  3. Step 3: Cross multiply
    1,034.80x = 1,428.15 × 592.72
  4. Step 4: Simplify right side
    1,034.80x = 846,493.07
  5. Step 5: Solve for x
    x = 846,493.07/1,034.80
  6. Step 6: Final answer
    x = 818.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.