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Finding the Fourth Proportional to 592.07, 886.78 and 429.38

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Solution

The fourth proportional to 592.07, 886.78 and 429.38 is: 643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.07 : 886.78 = 429.38 : x
  2. Step 2: Convert to fraction form
    592.07/886.78 = 429.38/x
  3. Step 3: Cross multiply
    592.07x = 886.78 × 429.38
  4. Step 4: Simplify right side
    592.07x = 380,765.60
  5. Step 5: Solve for x
    x = 380,765.60/592.07
  6. Step 6: Final answer
    x = 643.11

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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.