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Finding the Fourth Proportional to 787.13, 1,173.82 and 690.08

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Solution

The fourth proportional to 787.13, 1,173.82 and 690.08 is: 1,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.13 : 1,173.82 = 690.08 : x
  2. Step 2: Convert to fraction form
    787.13/1,173.82 = 690.08/x
  3. Step 3: Cross multiply
    787.13x = 1,173.82 × 690.08
  4. Step 4: Simplify right side
    787.13x = 810,029.71
  5. Step 5: Solve for x
    x = 810,029.71/787.13
  6. Step 6: Final answer
    x = 1,029.09

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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.