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Finding the Fourth Proportional to 672.97, 928.63 and 463.33

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Solution

The fourth proportional to 672.97, 928.63 and 463.33 is: 639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.97 : 928.63 = 463.33 : x
  2. Step 2: Convert to fraction form
    672.97/928.63 = 463.33/x
  3. Step 3: Cross multiply
    672.97x = 928.63 × 463.33
  4. Step 4: Simplify right side
    672.97x = 430,262.14
  5. Step 5: Solve for x
    x = 430,262.14/672.97
  6. Step 6: Final answer
    x = 639.35

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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.