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Finding the Fourth Proportional to 561.64, 839.23 and 429.13

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Solution

The fourth proportional to 561.64, 839.23 and 429.13 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 839.23 = 429.13 : x
  2. Step 2: Convert to fraction form
    561.64/839.23 = 429.13/x
  3. Step 3: Cross multiply
    561.64x = 839.23 × 429.13
  4. Step 4: Simplify right side
    561.64x = 360,138.77
  5. Step 5: Solve for x
    x = 360,138.77/561.64
  6. Step 6: Final answer
    x = 641.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.