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Finding the Fourth Proportional to 561, 772.02 and 429.48

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Solution

The fourth proportional to 561, 772.02 and 429.48 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 772.02 = 429.48 : x
  2. Step 2: Convert to fraction form
    561/772.02 = 429.48/x
  3. Step 3: Cross multiply
    561x = 772.02 × 429.48
  4. Step 4: Simplify right side
    561x = 331,567.15
  5. Step 5: Solve for x
    x = 331,567.15/561
  6. Step 6: Final answer
    x = 591.03

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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.