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Finding the Fourth Proportional to 560.12, 836.96 and 427.62

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Solution

The fourth proportional to 560.12, 836.96 and 427.62 is: 638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.12 : 836.96 = 427.62 : x
  2. Step 2: Convert to fraction form
    560.12/836.96 = 427.62/x
  3. Step 3: Cross multiply
    560.12x = 836.96 × 427.62
  4. Step 4: Simplify right side
    560.12x = 357,900.84
  5. Step 5: Solve for x
    x = 357,900.84/560.12
  6. Step 6: Final answer
    x = 638.97

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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.