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Finding the Fourth Proportional to 1,045.77, 1,443.17 and 580.02

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Solution

The fourth proportional to 1,045.77, 1,443.17 and 580.02 is: 800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.77 : 1,443.17 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,045.77/1,443.17 = 580.02/x
  3. Step 3: Cross multiply
    1,045.77x = 1,443.17 × 580.02
  4. Step 4: Simplify right side
    1,045.77x = 837,067.46
  5. Step 5: Solve for x
    x = 837,067.46/1,045.77
  6. Step 6: Final answer
    x = 800.43

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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.