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Finding the Fourth Proportional to 1,154.65, 1,593.54 and 682.71

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Solution

The fourth proportional to 1,154.65, 1,593.54 and 682.71 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.65 : 1,593.54 = 682.71 : x
  2. Step 2: Convert to fraction form
    1,154.65/1,593.54 = 682.71/x
  3. Step 3: Cross multiply
    1,154.65x = 1,593.54 × 682.71
  4. Step 4: Simplify right side
    1,154.65x = 1,087,925.69
  5. Step 5: Solve for x
    x = 1,087,925.69/1,154.65
  6. Step 6: Final answer
    x = 942.21

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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.