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Finding the Fourth Proportional to 1,291.49, 1,782.34 and 787.53

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Solution

The fourth proportional to 1,291.49, 1,782.34 and 787.53 is: 1,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.49 : 1,782.34 = 787.53 : x
  2. Step 2: Convert to fraction form
    1,291.49/1,782.34 = 787.53/x
  3. Step 3: Cross multiply
    1,291.49x = 1,782.34 × 787.53
  4. Step 4: Simplify right side
    1,291.49x = 1,403,646.22
  5. Step 5: Solve for x
    x = 1,403,646.22/1,291.49
  6. Step 6: Final answer
    x = 1,086.84

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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.