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Finding the Fourth Proportional to 934.17, 1,288.91 and 561.32

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Solution

The fourth proportional to 934.17, 1,288.91 and 561.32 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.17 : 1,288.91 = 561.32 : x
  2. Step 2: Convert to fraction form
    934.17/1,288.91 = 561.32/x
  3. Step 3: Cross multiply
    934.17x = 1,288.91 × 561.32
  4. Step 4: Simplify right side
    934.17x = 723,481.71
  5. Step 5: Solve for x
    x = 723,481.71/934.17
  6. Step 6: Final answer
    x = 774.46

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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.