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Finding the Fourth Proportional to 1,223.55, 1,686.74 and 873.63

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Solution

The fourth proportional to 1,223.55, 1,686.74 and 873.63 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.55 : 1,686.74 = 873.63 : x
  2. Step 2: Convert to fraction form
    1,223.55/1,686.74 = 873.63/x
  3. Step 3: Cross multiply
    1,223.55x = 1,686.74 × 873.63
  4. Step 4: Simplify right side
    1,223.55x = 1,473,586.67
  5. Step 5: Solve for x
    x = 1,473,586.67/1,223.55
  6. Step 6: Final answer
    x = 1,204.35

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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.