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Finding the Fourth Proportional to 565.32, 847.98 and 421.14

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Solution

The fourth proportional to 565.32, 847.98 and 421.14 is: 631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 847.98 = 421.14 : x
  2. Step 2: Convert to fraction form
    565.32/847.98 = 421.14/x
  3. Step 3: Cross multiply
    565.32x = 847.98 × 421.14
  4. Step 4: Simplify right side
    565.32x = 357,118.30
  5. Step 5: Solve for x
    x = 357,118.30/565.32
  6. Step 6: Final answer
    x = 631.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.