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Finding the Fourth Proportional to 883.92, 1,218.40 and 697.12

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Solution

The fourth proportional to 883.92, 1,218.40 and 697.12 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,218.40 = 697.12 : x
  2. Step 2: Convert to fraction form
    883.92/1,218.40 = 697.12/x
  3. Step 3: Cross multiply
    883.92x = 1,218.40 × 697.12
  4. Step 4: Simplify right side
    883.92x = 849,371.01
  5. Step 5: Solve for x
    x = 849,371.01/883.92
  6. Step 6: Final answer
    x = 960.91

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1.5x scale

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.