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Finding the Fourth Proportional to 787.61, 1,177.18 and 688.01

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Solution

The fourth proportional to 787.61, 1,177.18 and 688.01 is: 1,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.61 : 1,177.18 = 688.01 : x
  2. Step 2: Convert to fraction form
    787.61/1,177.18 = 688.01/x
  3. Step 3: Cross multiply
    787.61x = 1,177.18 × 688.01
  4. Step 4: Simplify right side
    787.61x = 809,907.56
  5. Step 5: Solve for x
    x = 809,907.56/787.61
  6. Step 6: Final answer
    x = 1,028.31

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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.