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Finding the Fourth Proportional to 615.83, 924.19 and 338.20

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Solution

The fourth proportional to 615.83, 924.19 and 338.20 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.83 : 924.19 = 338.20 : x
  2. Step 2: Convert to fraction form
    615.83/924.19 = 338.20/x
  3. Step 3: Cross multiply
    615.83x = 924.19 × 338.20
  4. Step 4: Simplify right side
    615.83x = 312,557.90
  5. Step 5: Solve for x
    x = 312,557.90/615.83
  6. Step 6: Final answer
    x = 507.54

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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.