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Finding the Fourth Proportional to 625.70, 859.82 and 597.14

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Solution

The fourth proportional to 625.70, 859.82 and 597.14 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.70 : 859.82 = 597.14 : x
  2. Step 2: Convert to fraction form
    625.70/859.82 = 597.14/x
  3. Step 3: Cross multiply
    625.70x = 859.82 × 597.14
  4. Step 4: Simplify right side
    625.70x = 513,432.91
  5. Step 5: Solve for x
    x = 513,432.91/625.70
  6. Step 6: Final answer
    x = 820.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.