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Finding the Fourth Proportional to 1,147.76, 1,727.89 and 1,045.70

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Solution

The fourth proportional to 1,147.76, 1,727.89 and 1,045.70 is: 1,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.76 : 1,727.89 = 1,045.70 : x
  2. Step 2: Convert to fraction form
    1,147.76/1,727.89 = 1,045.70/x
  3. Step 3: Cross multiply
    1,147.76x = 1,727.89 × 1,045.70
  4. Step 4: Simplify right side
    1,147.76x = 1,806,860.20
  5. Step 5: Solve for x
    x = 1,806,860.20/1,147.76
  6. Step 6: Final answer
    x = 1,574.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.