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Finding the Fourth Proportional to 582.54, 807.37 and 571.61

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Solution

The fourth proportional to 582.54, 807.37 and 571.61 is: 792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 807.37 = 571.61 : x
  2. Step 2: Convert to fraction form
    582.54/807.37 = 571.61/x
  3. Step 3: Cross multiply
    582.54x = 807.37 × 571.61
  4. Step 4: Simplify right side
    582.54x = 461,498.75
  5. Step 5: Solve for x
    x = 461,498.75/582.54
  6. Step 6: Final answer
    x = 792.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.