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Finding the Fourth Proportional to 672.90, 927.93 and 410.76

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Solution

The fourth proportional to 672.90, 927.93 and 410.76 is: 566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.90 : 927.93 = 410.76 : x
  2. Step 2: Convert to fraction form
    672.90/927.93 = 410.76/x
  3. Step 3: Cross multiply
    672.90x = 927.93 × 410.76
  4. Step 4: Simplify right side
    672.90x = 381,156.53
  5. Step 5: Solve for x
    x = 381,156.53/672.90
  6. Step 6: Final answer
    x = 566.44

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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.