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Finding the Fourth Proportional to 841.67, 1,261.33 and 429.93

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Solution

The fourth proportional to 841.67, 1,261.33 and 429.93 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.67 : 1,261.33 = 429.93 : x
  2. Step 2: Convert to fraction form
    841.67/1,261.33 = 429.93/x
  3. Step 3: Cross multiply
    841.67x = 1,261.33 × 429.93
  4. Step 4: Simplify right side
    841.67x = 542,286.38
  5. Step 5: Solve for x
    x = 542,286.38/841.67
  6. Step 6: Final answer
    x = 644.30

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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.