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Finding the Fourth Proportional to 586.05, 874.92 and 521.25

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Solution

The fourth proportional to 586.05, 874.92 and 521.25 is: 778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.05 : 874.92 = 521.25 : x
  2. Step 2: Convert to fraction form
    586.05/874.92 = 521.25/x
  3. Step 3: Cross multiply
    586.05x = 874.92 × 521.25
  4. Step 4: Simplify right side
    586.05x = 456,049.44
  5. Step 5: Solve for x
    x = 456,049.44/586.05
  6. Step 6: Final answer
    x = 778.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.