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Finding the Fourth Proportional to 897.87, 1,238.38 and 787.16

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Solution

The fourth proportional to 897.87, 1,238.38 and 787.16 is: 1,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.87 : 1,238.38 = 787.16 : x
  2. Step 2: Convert to fraction form
    897.87/1,238.38 = 787.16/x
  3. Step 3: Cross multiply
    897.87x = 1,238.38 × 787.16
  4. Step 4: Simplify right side
    897.87x = 974,804.33
  5. Step 5: Solve for x
    x = 974,804.33/897.87
  6. Step 6: Final answer
    x = 1,085.68

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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.