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Finding the Fourth Proportional to 582.74, 872.75 and 577.28

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Solution

The fourth proportional to 582.74, 872.75 and 577.28 is: 864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 872.75 = 577.28 : x
  2. Step 2: Convert to fraction form
    582.74/872.75 = 577.28/x
  3. Step 3: Cross multiply
    582.74x = 872.75 × 577.28
  4. Step 4: Simplify right side
    582.74x = 503,818.21
  5. Step 5: Solve for x
    x = 503,818.21/582.74
  6. Step 6: Final answer
    x = 864.56

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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.