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Finding the Fourth Proportional to 565.84, 847.20 and 291.34

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Solution

The fourth proportional to 565.84, 847.20 and 291.34 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.84 : 847.20 = 291.34 : x
  2. Step 2: Convert to fraction form
    565.84/847.20 = 291.34/x
  3. Step 3: Cross multiply
    565.84x = 847.20 × 291.34
  4. Step 4: Simplify right side
    565.84x = 246,823.25
  5. Step 5: Solve for x
    x = 246,823.25/565.84
  6. Step 6: Final answer
    x = 436.21

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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.