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Finding the Fourth Proportional to 563.97, 845.97 and 346.08

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Solution

The fourth proportional to 563.97, 845.97 and 346.08 is: 519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 845.97 = 346.08 : x
  2. Step 2: Convert to fraction form
    563.97/845.97 = 346.08/x
  3. Step 3: Cross multiply
    563.97x = 845.97 × 346.08
  4. Step 4: Simplify right side
    563.97x = 292,773.30
  5. Step 5: Solve for x
    x = 292,773.30/563.97
  6. Step 6: Final answer
    x = 519.13

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Double scale
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Similar ratio
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1.5x scale

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.