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Finding the Fourth Proportional to 1,176.76, 1,625.26 and 803.10

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Solution

The fourth proportional to 1,176.76, 1,625.26 and 803.10 is: 1,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.76 : 1,625.26 = 803.10 : x
  2. Step 2: Convert to fraction form
    1,176.76/1,625.26 = 803.10/x
  3. Step 3: Cross multiply
    1,176.76x = 1,625.26 × 803.10
  4. Step 4: Simplify right side
    1,176.76x = 1,305,246.31
  5. Step 5: Solve for x
    x = 1,305,246.31/1,176.76
  6. Step 6: Final answer
    x = 1,109.19

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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.