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Finding the Fourth Proportional to 1,568.10, 2,352.46 and 787.46

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Solution

The fourth proportional to 1,568.10, 2,352.46 and 787.46 is: 1,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.10 : 2,352.46 = 787.46 : x
  2. Step 2: Convert to fraction form
    1,568.10/2,352.46 = 787.46/x
  3. Step 3: Cross multiply
    1,568.10x = 2,352.46 × 787.46
  4. Step 4: Simplify right side
    1,568.10x = 1,852,472.06
  5. Step 5: Solve for x
    x = 1,852,472.06/1,568.10
  6. Step 6: Final answer
    x = 1,181.35

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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.