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Finding the Fourth Proportional to 787.40, 1,174.22 and 690.35

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Solution

The fourth proportional to 787.40, 1,174.22 and 690.35 is: 1,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.40 : 1,174.22 = 690.35 : x
  2. Step 2: Convert to fraction form
    787.40/1,174.22 = 690.35/x
  3. Step 3: Cross multiply
    787.40x = 1,174.22 × 690.35
  4. Step 4: Simplify right side
    787.40x = 810,622.78
  5. Step 5: Solve for x
    x = 810,622.78/787.40
  6. Step 6: Final answer
    x = 1,029.49

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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.