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Finding the Fourth Proportional to 410.50, 615.14 and 380.12

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Solution

The fourth proportional to 410.50, 615.14 and 380.12 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 615.14 = 380.12 : x
  2. Step 2: Convert to fraction form
    410.50/615.14 = 380.12/x
  3. Step 3: Cross multiply
    410.50x = 615.14 × 380.12
  4. Step 4: Simplify right side
    410.50x = 233,825.12
  5. Step 5: Solve for x
    x = 233,825.12/410.50
  6. Step 6: Final answer
    x = 569.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.