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Finding the Fourth Proportional to 584.74, 808.62 and 525.61

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Solution

The fourth proportional to 584.74, 808.62 and 525.61 is: 726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 808.62 = 525.61 : x
  2. Step 2: Convert to fraction form
    584.74/808.62 = 525.61/x
  3. Step 3: Cross multiply
    584.74x = 808.62 × 525.61
  4. Step 4: Simplify right side
    584.74x = 425,018.76
  5. Step 5: Solve for x
    x = 425,018.76/584.74
  6. Step 6: Final answer
    x = 726.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.