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Finding the Fourth Proportional to 561.49, 842.23 and 171.49

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Solution

The fourth proportional to 561.49, 842.23 and 171.49 is: 257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 842.23 = 171.49 : x
  2. Step 2: Convert to fraction form
    561.49/842.23 = 171.49/x
  3. Step 3: Cross multiply
    561.49x = 842.23 × 171.49
  4. Step 4: Simplify right side
    561.49x = 144,433.17
  5. Step 5: Solve for x
    x = 144,433.17/561.49
  6. Step 6: Final answer
    x = 257.23

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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.