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Finding the Fourth Proportional to 437.46, 653.07 and 380.13

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Solution

The fourth proportional to 437.46, 653.07 and 380.13 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.46 : 653.07 = 380.13 : x
  2. Step 2: Convert to fraction form
    437.46/653.07 = 380.13/x
  3. Step 3: Cross multiply
    437.46x = 653.07 × 380.13
  4. Step 4: Simplify right side
    437.46x = 248,251.50
  5. Step 5: Solve for x
    x = 248,251.50/437.46
  6. Step 6: Final answer
    x = 567.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.