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Finding the Fourth Proportional to 985.88, 1,479.02 and 408.75

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Solution

The fourth proportional to 985.88, 1,479.02 and 408.75 is: 613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.88 : 1,479.02 = 408.75 : x
  2. Step 2: Convert to fraction form
    985.88/1,479.02 = 408.75/x
  3. Step 3: Cross multiply
    985.88x = 1,479.02 × 408.75
  4. Step 4: Simplify right side
    985.88x = 604,547.38
  5. Step 5: Solve for x
    x = 604,547.38/985.88
  6. Step 6: Final answer
    x = 613.21

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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.