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Finding the Fourth Proportional to 788.04, 1,175.67 and 717.30

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Solution

The fourth proportional to 788.04, 1,175.67 and 717.30 is: 1,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.04 : 1,175.67 = 717.30 : x
  2. Step 2: Convert to fraction form
    788.04/1,175.67 = 717.30/x
  3. Step 3: Cross multiply
    788.04x = 1,175.67 × 717.30
  4. Step 4: Simplify right side
    788.04x = 843,308.09
  5. Step 5: Solve for x
    x = 843,308.09/788.04
  6. Step 6: Final answer
    x = 1,070.13

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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.