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Finding the Fourth Proportional to 1,193.19, 1,787.85 and 645.63

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Solution

The fourth proportional to 1,193.19, 1,787.85 and 645.63 is: 967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,787.85 = 645.63 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,787.85 = 645.63/x
  3. Step 3: Cross multiply
    1,193.19x = 1,787.85 × 645.63
  4. Step 4: Simplify right side
    1,193.19x = 1,154,289.60
  5. Step 5: Solve for x
    x = 1,154,289.60/1,193.19
  6. Step 6: Final answer
    x = 967.40

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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.