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Finding the Fourth Proportional to 816.30, 1,127.84 and 642.96

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Solution

The fourth proportional to 816.30, 1,127.84 and 642.96 is: 888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,127.84 = 642.96 : x
  2. Step 2: Convert to fraction form
    816.30/1,127.84 = 642.96/x
  3. Step 3: Cross multiply
    816.30x = 1,127.84 × 642.96
  4. Step 4: Simplify right side
    816.30x = 725,152.79
  5. Step 5: Solve for x
    x = 725,152.79/816.30
  6. Step 6: Final answer
    x = 888.34

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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.