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Finding the Fourth Proportional to 561.24, 773.48 and 421.11

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Solution

The fourth proportional to 561.24, 773.48 and 421.11 is: 580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 773.48 = 421.11 : x
  2. Step 2: Convert to fraction form
    561.24/773.48 = 421.11/x
  3. Step 3: Cross multiply
    561.24x = 773.48 × 421.11
  4. Step 4: Simplify right side
    561.24x = 325,721.22
  5. Step 5: Solve for x
    x = 325,721.22/561.24
  6. Step 6: Final answer
    x = 580.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.