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Finding the Fourth Proportional to 1,382.60, 2,074.47 and 560.66

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Solution

The fourth proportional to 1,382.60, 2,074.47 and 560.66 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.60 : 2,074.47 = 560.66 : x
  2. Step 2: Convert to fraction form
    1,382.60/2,074.47 = 560.66/x
  3. Step 3: Cross multiply
    1,382.60x = 2,074.47 × 560.66
  4. Step 4: Simplify right side
    1,382.60x = 1,163,061.98
  5. Step 5: Solve for x
    x = 1,163,061.98/1,382.60
  6. Step 6: Final answer
    x = 841.22

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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.