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Finding the Fourth Proportional to 577.70, 871.22 and 532.58

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Solution

The fourth proportional to 577.70, 871.22 and 532.58 is: 803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 871.22 = 532.58 : x
  2. Step 2: Convert to fraction form
    577.70/871.22 = 532.58/x
  3. Step 3: Cross multiply
    577.70x = 871.22 × 532.58
  4. Step 4: Simplify right side
    577.70x = 463,991.32
  5. Step 5: Solve for x
    x = 463,991.32/577.70
  6. Step 6: Final answer
    x = 803.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.