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Finding the Fourth Proportional to 583.82, 873.66 and 429.38

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Solution

The fourth proportional to 583.82, 873.66 and 429.38 is: 642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 873.66 = 429.38 : x
  2. Step 2: Convert to fraction form
    583.82/873.66 = 429.38/x
  3. Step 3: Cross multiply
    583.82x = 873.66 × 429.38
  4. Step 4: Simplify right side
    583.82x = 375,132.13
  5. Step 5: Solve for x
    x = 375,132.13/583.82
  6. Step 6: Final answer
    x = 642.55

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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.