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Finding the Fourth Proportional to 954.80, 1,317.22 and 561.66

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Solution

The fourth proportional to 954.80, 1,317.22 and 561.66 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.80 : 1,317.22 = 561.66 : x
  2. Step 2: Convert to fraction form
    954.80/1,317.22 = 561.66/x
  3. Step 3: Cross multiply
    954.80x = 1,317.22 × 561.66
  4. Step 4: Simplify right side
    954.80x = 739,829.79
  5. Step 5: Solve for x
    x = 739,829.79/954.80
  6. Step 6: Final answer
    x = 774.85

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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.