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Finding the Fourth Proportional to 1,045, 1,442.13 and 572.92

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Solution

The fourth proportional to 1,045, 1,442.13 and 572.92 is: 790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045 : 1,442.13 = 572.92 : x
  2. Step 2: Convert to fraction form
    1,045/1,442.13 = 572.92/x
  3. Step 3: Cross multiply
    1,045x = 1,442.13 × 572.92
  4. Step 4: Simplify right side
    1,045x = 826,225.12
  5. Step 5: Solve for x
    x = 826,225.12/1,045
  6. Step 6: Final answer
    x = 790.65

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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.