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Finding the Fourth Proportional to 1,107.74, 1,528.47 and 693.50

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Solution

The fourth proportional to 1,107.74, 1,528.47 and 693.50 is: 956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.74 : 1,528.47 = 693.50 : x
  2. Step 2: Convert to fraction form
    1,107.74/1,528.47 = 693.50/x
  3. Step 3: Cross multiply
    1,107.74x = 1,528.47 × 693.50
  4. Step 4: Simplify right side
    1,107.74x = 1,059,993.95
  5. Step 5: Solve for x
    x = 1,059,993.95/1,107.74
  6. Step 6: Final answer
    x = 956.90

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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.