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Finding the Fourth Proportional to 883.80, 1,218.78 and 687.24

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Solution

The fourth proportional to 883.80, 1,218.78 and 687.24 is: 947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.80 : 1,218.78 = 687.24 : x
  2. Step 2: Convert to fraction form
    883.80/1,218.78 = 687.24/x
  3. Step 3: Cross multiply
    883.80x = 1,218.78 × 687.24
  4. Step 4: Simplify right side
    883.80x = 837,594.37
  5. Step 5: Solve for x
    x = 837,594.37/883.80
  6. Step 6: Final answer
    x = 947.72

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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.