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Finding the Fourth Proportional to 1,045.75, 1,443.19 and 580

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Solution

The fourth proportional to 1,045.75, 1,443.19 and 580 is: 800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.75 : 1,443.19 = 580 : x
  2. Step 2: Convert to fraction form
    1,045.75/1,443.19 = 580/x
  3. Step 3: Cross multiply
    1,045.75x = 1,443.19 × 580
  4. Step 4: Simplify right side
    1,045.75x = 837,047.30
  5. Step 5: Solve for x
    x = 837,047.30/1,045.75
  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.