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Finding the Fourth Proportional to 1,223.85, 1,689.21 and 700.18

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Solution

The fourth proportional to 1,223.85, 1,689.21 and 700.18 is: 966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.85 : 1,689.21 = 700.18 : x
  2. Step 2: Convert to fraction form
    1,223.85/1,689.21 = 700.18/x
  3. Step 3: Cross multiply
    1,223.85x = 1,689.21 × 700.18
  4. Step 4: Simplify right side
    1,223.85x = 1,182,751.06
  5. Step 5: Solve for x
    x = 1,182,751.06/1,223.85
  6. Step 6: Final answer
    x = 966.42

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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.