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Finding the Fourth Proportional to 552.35, 829.07 and 421.13

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Solution

The fourth proportional to 552.35, 829.07 and 421.13 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.35 : 829.07 = 421.13 : x
  2. Step 2: Convert to fraction form
    552.35/829.07 = 421.13/x
  3. Step 3: Cross multiply
    552.35x = 829.07 × 421.13
  4. Step 4: Simplify right side
    552.35x = 349,146.25
  5. Step 5: Solve for x
    x = 349,146.25/552.35
  6. Step 6: Final answer
    x = 632.11

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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.