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Finding the Fourth Proportional to 590.95, 815.23 and 539.11

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Solution

The fourth proportional to 590.95, 815.23 and 539.11 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.95 : 815.23 = 539.11 : x
  2. Step 2: Convert to fraction form
    590.95/815.23 = 539.11/x
  3. Step 3: Cross multiply
    590.95x = 815.23 × 539.11
  4. Step 4: Simplify right side
    590.95x = 439,498.65
  5. Step 5: Solve for x
    x = 439,498.65/590.95
  6. Step 6: Final answer
    x = 743.72

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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.