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Finding the Fourth Proportional to 672.54, 928.16 and 392.75

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Solution

The fourth proportional to 672.54, 928.16 and 392.75 is: 542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.54 : 928.16 = 392.75 : x
  2. Step 2: Convert to fraction form
    672.54/928.16 = 392.75/x
  3. Step 3: Cross multiply
    672.54x = 928.16 × 392.75
  4. Step 4: Simplify right side
    672.54x = 364,533.19
  5. Step 5: Solve for x
    x = 364,533.19/672.54
  6. Step 6: Final answer
    x = 542.03

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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.