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Finding the Fourth Proportional to 975.50, 1,346.20 and 561.50

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Solution

The fourth proportional to 975.50, 1,346.20 and 561.50 is: 774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.50 : 1,346.20 = 561.50 : x
  2. Step 2: Convert to fraction form
    975.50/1,346.20 = 561.50/x
  3. Step 3: Cross multiply
    975.50x = 1,346.20 × 561.50
  4. Step 4: Simplify right side
    975.50x = 755,891.30
  5. Step 5: Solve for x
    x = 755,891.30/975.50
  6. Step 6: Final answer
    x = 774.88

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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.