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Finding the Fourth Proportional to 1,151.64, 1,588.48 and 778.43

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Solution

The fourth proportional to 1,151.64, 1,588.48 and 778.43 is: 1,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,588.48 = 778.43 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,588.48 = 778.43/x
  3. Step 3: Cross multiply
    1,151.64x = 1,588.48 × 778.43
  4. Step 4: Simplify right side
    1,151.64x = 1,236,522.51
  5. Step 5: Solve for x
    x = 1,236,522.51/1,151.64
  6. Step 6: Final answer
    x = 1,073.71

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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.