Home / 1,042.59-1,560.20-983.38

Finding the Fourth Proportional to 1,042.59, 1,560.20 and 983.38

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Solution

The fourth proportional to 1,042.59, 1,560.20 and 983.38 is: 1,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,560.20 = 983.38 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,560.20 = 983.38/x
  3. Step 3: Cross multiply
    1,042.59x = 1,560.20 × 983.38
  4. Step 4: Simplify right side
    1,042.59x = 1,534,269.48
  5. Step 5: Solve for x
    x = 1,534,269.48/1,042.59
  6. Step 6: Final answer
    x = 1,471.60

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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.