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Finding the Fourth Proportional to 582.56, 875.66 and 538.82

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Solution

The fourth proportional to 582.56, 875.66 and 538.82 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 875.66 = 538.82 : x
  2. Step 2: Convert to fraction form
    582.56/875.66 = 538.82/x
  3. Step 3: Cross multiply
    582.56x = 875.66 × 538.82
  4. Step 4: Simplify right side
    582.56x = 471,823.12
  5. Step 5: Solve for x
    x = 471,823.12/582.56
  6. Step 6: Final answer
    x = 809.91

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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.