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Finding the Fourth Proportional to 839.51, 1,159.07 and 787.23

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Solution

The fourth proportional to 839.51, 1,159.07 and 787.23 is: 1,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.51 : 1,159.07 = 787.23 : x
  2. Step 2: Convert to fraction form
    839.51/1,159.07 = 787.23/x
  3. Step 3: Cross multiply
    839.51x = 1,159.07 × 787.23
  4. Step 4: Simplify right side
    839.51x = 912,457.91
  5. Step 5: Solve for x
    x = 912,457.91/839.51
  6. Step 6: Final answer
    x = 1,086.89

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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.