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Finding the Fourth Proportional to 559.34, 834.68 and 497.98

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Solution

The fourth proportional to 559.34, 834.68 and 497.98 is: 743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.34 : 834.68 = 497.98 : x
  2. Step 2: Convert to fraction form
    559.34/834.68 = 497.98/x
  3. Step 3: Cross multiply
    559.34x = 834.68 × 497.98
  4. Step 4: Simplify right side
    559.34x = 415,647.28
  5. Step 5: Solve for x
    x = 415,647.28/559.34
  6. Step 6: Final answer
    x = 743.11

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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.