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Finding the Fourth Proportional to 778.02, 1,166.31 and 291.39

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Solution

The fourth proportional to 778.02, 1,166.31 and 291.39 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.02 : 1,166.31 = 291.39 : x
  2. Step 2: Convert to fraction form
    778.02/1,166.31 = 291.39/x
  3. Step 3: Cross multiply
    778.02x = 1,166.31 × 291.39
  4. Step 4: Simplify right side
    778.02x = 339,851.07
  5. Step 5: Solve for x
    x = 339,851.07/778.02
  6. Step 6: Final answer
    x = 436.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.