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Finding the Fourth Proportional to 559.47, 834.45 and 527.34

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Solution

The fourth proportional to 559.47, 834.45 and 527.34 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.47 : 834.45 = 527.34 : x
  2. Step 2: Convert to fraction form
    559.47/834.45 = 527.34/x
  3. Step 3: Cross multiply
    559.47x = 834.45 × 527.34
  4. Step 4: Simplify right side
    559.47x = 440,038.86
  5. Step 5: Solve for x
    x = 440,038.86/559.47
  6. Step 6: Final answer
    x = 786.53

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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.