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Finding the Fourth Proportional to 1,116.57, 1,539.87 and 803.91

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Solution

The fourth proportional to 1,116.57, 1,539.87 and 803.91 is: 1,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.57 : 1,539.87 = 803.91 : x
  2. Step 2: Convert to fraction form
    1,116.57/1,539.87 = 803.91/x
  3. Step 3: Cross multiply
    1,116.57x = 1,539.87 × 803.91
  4. Step 4: Simplify right side
    1,116.57x = 1,237,916.89
  5. Step 5: Solve for x
    x = 1,237,916.89/1,116.57
  6. Step 6: Final answer
    x = 1,108.68

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Why These Related Problems?

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