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Finding the Fourth Proportional to 1,140.75, 1,572.62 and 809.93

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Solution

The fourth proportional to 1,140.75, 1,572.62 and 809.93 is: 1,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,572.62 = 809.93 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,572.62 = 809.93/x
  3. Step 3: Cross multiply
    1,140.75x = 1,572.62 × 809.93
  4. Step 4: Simplify right side
    1,140.75x = 1,273,712.00
  5. Step 5: Solve for x
    x = 1,273,712.00/1,140.75
  6. Step 6: Final answer
    x = 1,116.56

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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.