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Finding the Fourth Proportional to 894.12, 1,332.40 and 864.75

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Solution

The fourth proportional to 894.12, 1,332.40 and 864.75 is: 1,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,332.40 = 864.75 : x
  2. Step 2: Convert to fraction form
    894.12/1,332.40 = 864.75/x
  3. Step 3: Cross multiply
    894.12x = 1,332.40 × 864.75
  4. Step 4: Simplify right side
    894.12x = 1,152,192.90
  5. Step 5: Solve for x
    x = 1,152,192.90/894.12
  6. Step 6: Final answer
    x = 1,288.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.