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Finding the Fourth Proportional to 1,223.08, 1,687.47 and 750.67

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Solution

The fourth proportional to 1,223.08, 1,687.47 and 750.67 is: 1,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.08 : 1,687.47 = 750.67 : x
  2. Step 2: Convert to fraction form
    1,223.08/1,687.47 = 750.67/x
  3. Step 3: Cross multiply
    1,223.08x = 1,687.47 × 750.67
  4. Step 4: Simplify right side
    1,223.08x = 1,266,735.17
  5. Step 5: Solve for x
    x = 1,266,735.17/1,223.08
  6. Step 6: Final answer
    x = 1,035.70

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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.