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Finding the Fourth Proportional to 672.38, 927.93 and 410.54

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Solution

The fourth proportional to 672.38, 927.93 and 410.54 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 927.93 = 410.54 : x
  2. Step 2: Convert to fraction form
    672.38/927.93 = 410.54/x
  3. Step 3: Cross multiply
    672.38x = 927.93 × 410.54
  4. Step 4: Simplify right side
    672.38x = 380,952.38
  5. Step 5: Solve for x
    x = 380,952.38/672.38
  6. Step 6: Final answer
    x = 566.57

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1.5x scale

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.