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Finding the Fourth Proportional to 484.92, 670.14 and 430.92

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Solution

The fourth proportional to 484.92, 670.14 and 430.92 is: 595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 670.14 = 430.92 : x
  2. Step 2: Convert to fraction form
    484.92/670.14 = 430.92/x
  3. Step 3: Cross multiply
    484.92x = 670.14 × 430.92
  4. Step 4: Simplify right side
    484.92x = 288,776.73
  5. Step 5: Solve for x
    x = 288,776.73/484.92
  6. Step 6: Final answer
    x = 595.51

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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.