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Finding the Fourth Proportional to 575.81, 795.15 and 545.12

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Solution

The fourth proportional to 575.81, 795.15 and 545.12 is: 752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.81 : 795.15 = 545.12 : x
  2. Step 2: Convert to fraction form
    575.81/795.15 = 545.12/x
  3. Step 3: Cross multiply
    575.81x = 795.15 × 545.12
  4. Step 4: Simplify right side
    575.81x = 433,452.17
  5. Step 5: Solve for x
    x = 433,452.17/575.81
  6. Step 6: Final answer
    x = 752.77

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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.