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Finding the Fourth Proportional to 941.78, 1,412.17 and 479.27

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Solution

The fourth proportional to 941.78, 1,412.17 and 479.27 is: 718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.78 : 1,412.17 = 479.27 : x
  2. Step 2: Convert to fraction form
    941.78/1,412.17 = 479.27/x
  3. Step 3: Cross multiply
    941.78x = 1,412.17 × 479.27
  4. Step 4: Simplify right side
    941.78x = 676,810.72
  5. Step 5: Solve for x
    x = 676,810.72/941.78
  6. Step 6: Final answer
    x = 718.65

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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.