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Finding the Fourth Proportional to 672.32, 928.16 and 538.08

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Solution

The fourth proportional to 672.32, 928.16 and 538.08 is: 742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.32 : 928.16 = 538.08 : x
  2. Step 2: Convert to fraction form
    672.32/928.16 = 538.08/x
  3. Step 3: Cross multiply
    672.32x = 928.16 × 538.08
  4. Step 4: Simplify right side
    672.32x = 499,424.33
  5. Step 5: Solve for x
    x = 499,424.33/672.32
  6. Step 6: Final answer
    x = 742.84

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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.