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Finding the Fourth Proportional to 803.01, 1,107.76 and 625.66

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Solution

The fourth proportional to 803.01, 1,107.76 and 625.66 is: 863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.01 : 1,107.76 = 625.66 : x
  2. Step 2: Convert to fraction form
    803.01/1,107.76 = 625.66/x
  3. Step 3: Cross multiply
    803.01x = 1,107.76 × 625.66
  4. Step 4: Simplify right side
    803.01x = 693,081.12
  5. Step 5: Solve for x
    x = 693,081.12/803.01
  6. Step 6: Final answer
    x = 863.10

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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.