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Finding the Fourth Proportional to 1,045.77, 1,568.17 and 387.19

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Solution

The fourth proportional to 1,045.77, 1,568.17 and 387.19 is: 580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.77 : 1,568.17 = 387.19 : x
  2. Step 2: Convert to fraction form
    1,045.77/1,568.17 = 387.19/x
  3. Step 3: Cross multiply
    1,045.77x = 1,568.17 × 387.19
  4. Step 4: Simplify right side
    1,045.77x = 607,179.74
  5. Step 5: Solve for x
    x = 607,179.74/1,045.77
  6. Step 6: Final answer
    x = 580.61

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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.