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Finding the Fourth Proportional to 1,019.89, 1,527.54 and 787.15

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Solution

The fourth proportional to 1,019.89, 1,527.54 and 787.15 is: 1,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.89 : 1,527.54 = 787.15 : x
  2. Step 2: Convert to fraction form
    1,019.89/1,527.54 = 787.15/x
  3. Step 3: Cross multiply
    1,019.89x = 1,527.54 × 787.15
  4. Step 4: Simplify right side
    1,019.89x = 1,202,403.11
  5. Step 5: Solve for x
    x = 1,202,403.11/1,019.89
  6. Step 6: Final answer
    x = 1,178.95

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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.