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Finding the Fourth Proportional to 422.04, 583.65 and 402.69

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Solution

The fourth proportional to 422.04, 583.65 and 402.69 is: 556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 583.65 = 402.69 : x
  2. Step 2: Convert to fraction form
    422.04/583.65 = 402.69/x
  3. Step 3: Cross multiply
    422.04x = 583.65 × 402.69
  4. Step 4: Simplify right side
    422.04x = 235,030.02
  5. Step 5: Solve for x
    x = 235,030.02/422.04
  6. Step 6: Final answer
    x = 556.89

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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.