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Finding the Fourth Proportional to 787.08, 1,164.16 and 787.08

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Solution

The fourth proportional to 787.08, 1,164.16 and 787.08 is: 1,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,164.16 = 787.08 : x
  2. Step 2: Convert to fraction form
    787.08/1,164.16 = 787.08/x
  3. Step 3: Cross multiply
    787.08x = 1,164.16 × 787.08
  4. Step 4: Simplify right side
    787.08x = 916,287.97
  5. Step 5: Solve for x
    x = 916,287.97/787.08
  6. Step 6: Final answer
    x = 1,164.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.