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Finding the Fourth Proportional to 869.32, 1,193.08 and 845.02

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Solution

The fourth proportional to 869.32, 1,193.08 and 845.02 is: 1,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.32 : 1,193.08 = 845.02 : x
  2. Step 2: Convert to fraction form
    869.32/1,193.08 = 845.02/x
  3. Step 3: Cross multiply
    869.32x = 1,193.08 × 845.02
  4. Step 4: Simplify right side
    869.32x = 1,008,176.46
  5. Step 5: Solve for x
    x = 1,008,176.46/869.32
  6. Step 6: Final answer
    x = 1,159.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.