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Finding the Fourth Proportional to 575.80, 790.34 and 545.04

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Solution

The fourth proportional to 575.80, 790.34 and 545.04 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 790.34 = 545.04 : x
  2. Step 2: Convert to fraction form
    575.80/790.34 = 545.04/x
  3. Step 3: Cross multiply
    575.80x = 790.34 × 545.04
  4. Step 4: Simplify right side
    575.80x = 430,766.91
  5. Step 5: Solve for x
    x = 430,766.91/575.80
  6. Step 6: Final answer
    x = 748.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.