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Finding the Fourth Proportional to 577.40, 865.44 and 474.89

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Solution

The fourth proportional to 577.40, 865.44 and 474.89 is: 711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 865.44 = 474.89 : x
  2. Step 2: Convert to fraction form
    577.40/865.44 = 474.89/x
  3. Step 3: Cross multiply
    577.40x = 865.44 × 474.89
  4. Step 4: Simplify right side
    577.40x = 410,984.47
  5. Step 5: Solve for x
    x = 410,984.47/577.40
  6. Step 6: Final answer
    x = 711.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.