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Finding the Fourth Proportional to 943.40, 1,416.86 and 561

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Solution

The fourth proportional to 943.40, 1,416.86 and 561 is: 842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.40 : 1,416.86 = 561 : x
  2. Step 2: Convert to fraction form
    943.40/1,416.86 = 561/x
  3. Step 3: Cross multiply
    943.40x = 1,416.86 × 561
  4. Step 4: Simplify right side
    943.40x = 794,858.46
  5. Step 5: Solve for x
    x = 794,858.46/943.40
  6. Step 6: Final answer
    x = 842.55

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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.