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Finding the Fourth Proportional to 1,347.09, 1,858.95 and 787.64

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Solution

The fourth proportional to 1,347.09, 1,858.95 and 787.64 is: 1,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.09 : 1,858.95 = 787.64 : x
  2. Step 2: Convert to fraction form
    1,347.09/1,858.95 = 787.64/x
  3. Step 3: Cross multiply
    1,347.09x = 1,858.95 × 787.64
  4. Step 4: Simplify right side
    1,347.09x = 1,464,174.08
  5. Step 5: Solve for x
    x = 1,464,174.08/1,347.09
  6. Step 6: Final answer
    x = 1,086.92

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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.