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Finding the Fourth Proportional to 672.67, 928.13 and 407.15

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Solution

The fourth proportional to 672.67, 928.13 and 407.15 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.67 : 928.13 = 407.15 : x
  2. Step 2: Convert to fraction form
    672.67/928.13 = 407.15/x
  3. Step 3: Cross multiply
    672.67x = 928.13 × 407.15
  4. Step 4: Simplify right side
    672.67x = 377,888.13
  5. Step 5: Solve for x
    x = 377,888.13/672.67
  6. Step 6: Final answer
    x = 561.77

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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.