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Finding the Fourth Proportional to 591.74, 882.44 and 577.77

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Solution

The fourth proportional to 591.74, 882.44 and 577.77 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.74 : 882.44 = 577.77 : x
  2. Step 2: Convert to fraction form
    591.74/882.44 = 577.77/x
  3. Step 3: Cross multiply
    591.74x = 882.44 × 577.77
  4. Step 4: Simplify right side
    591.74x = 509,844.47
  5. Step 5: Solve for x
    x = 509,844.47/591.74
  6. Step 6: Final answer
    x = 861.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.