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Finding the Fourth Proportional to 953.60, 1,316.14 and 560.60

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Solution

The fourth proportional to 953.60, 1,316.14 and 560.60 is: 773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.60 : 1,316.14 = 560.60 : x
  2. Step 2: Convert to fraction form
    953.60/1,316.14 = 560.60/x
  3. Step 3: Cross multiply
    953.60x = 1,316.14 × 560.60
  4. Step 4: Simplify right side
    953.60x = 737,828.08
  5. Step 5: Solve for x
    x = 737,828.08/953.60
  6. Step 6: Final answer
    x = 773.73

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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.