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Finding the Fourth Proportional to 1,140.80, 1,574.51 and 721.35

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Solution

The fourth proportional to 1,140.80, 1,574.51 and 721.35 is: 995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.80 : 1,574.51 = 721.35 : x
  2. Step 2: Convert to fraction form
    1,140.80/1,574.51 = 721.35/x
  3. Step 3: Cross multiply
    1,140.80x = 1,574.51 × 721.35
  4. Step 4: Simplify right side
    1,140.80x = 1,135,772.79
  5. Step 5: Solve for x
    x = 1,135,772.79/1,140.80
  6. Step 6: Final answer
    x = 995.59

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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.