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Finding the Fourth Proportional to 486.61, 667.95 and 430.11

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Solution

The fourth proportional to 486.61, 667.95 and 430.11 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.61 : 667.95 = 430.11 : x
  2. Step 2: Convert to fraction form
    486.61/667.95 = 430.11/x
  3. Step 3: Cross multiply
    486.61x = 667.95 × 430.11
  4. Step 4: Simplify right side
    486.61x = 287,290.36
  5. Step 5: Solve for x
    x = 287,290.36/486.61
  6. Step 6: Final answer
    x = 590.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.