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Finding the Fourth Proportional to 672.71, 928.29 and 378.02

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Solution

The fourth proportional to 672.71, 928.29 and 378.02 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 928.29 = 378.02 : x
  2. Step 2: Convert to fraction form
    672.71/928.29 = 378.02/x
  3. Step 3: Cross multiply
    672.71x = 928.29 × 378.02
  4. Step 4: Simplify right side
    672.71x = 350,907.51
  5. Step 5: Solve for x
    x = 350,907.51/672.71
  6. Step 6: Final answer
    x = 521.64

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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.