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Finding the Fourth Proportional to 1,144.06, 1,712.85 and 778.30

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Solution

The fourth proportional to 1,144.06, 1,712.85 and 778.30 is: 1,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.06 : 1,712.85 = 778.30 : x
  2. Step 2: Convert to fraction form
    1,144.06/1,712.85 = 778.30/x
  3. Step 3: Cross multiply
    1,144.06x = 1,712.85 × 778.30
  4. Step 4: Simplify right side
    1,144.06x = 1,333,111.16
  5. Step 5: Solve for x
    x = 1,333,111.16/1,144.06
  6. Step 6: Final answer
    x = 1,165.25

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Why These Related Problems?

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