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Finding the Fourth Proportional to 615.68, 924.10 and 410.40

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Solution

The fourth proportional to 615.68, 924.10 and 410.40 is: 615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 924.10 = 410.40 : x
  2. Step 2: Convert to fraction form
    615.68/924.10 = 410.40/x
  3. Step 3: Cross multiply
    615.68x = 924.10 × 410.40
  4. Step 4: Simplify right side
    615.68x = 379,250.64
  5. Step 5: Solve for x
    x = 379,250.64/615.68
  6. Step 6: Final answer
    x = 615.99

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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.