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Finding the Fourth Proportional to 672.65, 928.29 and 378.01

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Solution

The fourth proportional to 672.65, 928.29 and 378.01 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.65 : 928.29 = 378.01 : x
  2. Step 2: Convert to fraction form
    672.65/928.29 = 378.01/x
  3. Step 3: Cross multiply
    672.65x = 928.29 × 378.01
  4. Step 4: Simplify right side
    672.65x = 350,902.90
  5. Step 5: Solve for x
    x = 350,902.90/672.65
  6. Step 6: Final answer
    x = 521.67

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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.