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Finding the Fourth Proportional to 787.79, 1,180.69 and 690.06

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Solution

The fourth proportional to 787.79, 1,180.69 and 690.06 is: 1,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.79 : 1,180.69 = 690.06 : x
  2. Step 2: Convert to fraction form
    787.79/1,180.69 = 690.06/x
  3. Step 3: Cross multiply
    787.79x = 1,180.69 × 690.06
  4. Step 4: Simplify right side
    787.79x = 814,746.94
  5. Step 5: Solve for x
    x = 814,746.94/787.79
  6. Step 6: Final answer
    x = 1,034.22

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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.