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Finding the Fourth Proportional to 934.22, 1,288.74 and 561.02

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Solution

The fourth proportional to 934.22, 1,288.74 and 561.02 is: 773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.22 : 1,288.74 = 561.02 : x
  2. Step 2: Convert to fraction form
    934.22/1,288.74 = 561.02/x
  3. Step 3: Cross multiply
    934.22x = 1,288.74 × 561.02
  4. Step 4: Simplify right side
    934.22x = 723,008.91
  5. Step 5: Solve for x
    x = 723,008.91/934.22
  6. Step 6: Final answer
    x = 773.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.