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Finding the Fourth Proportional to 788.34, 1,175.53 and 781.29

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Solution

The fourth proportional to 788.34, 1,175.53 and 781.29 is: 1,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,175.53 = 781.29 : x
  2. Step 2: Convert to fraction form
    788.34/1,175.53 = 781.29/x
  3. Step 3: Cross multiply
    788.34x = 1,175.53 × 781.29
  4. Step 4: Simplify right side
    788.34x = 918,429.83
  5. Step 5: Solve for x
    x = 918,429.83/788.34
  6. Step 6: Final answer
    x = 1,165.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.