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Finding the Fourth Proportional to 590.68, 818.41 and 577.72

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Solution

The fourth proportional to 590.68, 818.41 and 577.72 is: 800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.68 : 818.41 = 577.72 : x
  2. Step 2: Convert to fraction form
    590.68/818.41 = 577.72/x
  3. Step 3: Cross multiply
    590.68x = 818.41 × 577.72
  4. Step 4: Simplify right side
    590.68x = 472,811.83
  5. Step 5: Solve for x
    x = 472,811.83/590.68
  6. Step 6: Final answer
    x = 800.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.