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Finding the Fourth Proportional to 808.72, 1,117.41 and 787.98

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Solution

The fourth proportional to 808.72, 1,117.41 and 787.98 is: 1,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.72 : 1,117.41 = 787.98 : x
  2. Step 2: Convert to fraction form
    808.72/1,117.41 = 787.98/x
  3. Step 3: Cross multiply
    808.72x = 1,117.41 × 787.98
  4. Step 4: Simplify right side
    808.72x = 880,496.73
  5. Step 5: Solve for x
    x = 880,496.73/808.72
  6. Step 6: Final answer
    x = 1,088.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.