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Finding the Fourth Proportional to 579.95, 870.05 and 521.86

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Solution

The fourth proportional to 579.95, 870.05 and 521.86 is: 782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 870.05 = 521.86 : x
  2. Step 2: Convert to fraction form
    579.95/870.05 = 521.86/x
  3. Step 3: Cross multiply
    579.95x = 870.05 × 521.86
  4. Step 4: Simplify right side
    579.95x = 454,042.77
  5. Step 5: Solve for x
    x = 454,042.77/579.95
  6. Step 6: Final answer
    x = 782.89

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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.