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Finding the Fourth Proportional to 1,089.79, 1,502.24 and 669.35

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Solution

The fourth proportional to 1,089.79, 1,502.24 and 669.35 is: 922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.79 : 1,502.24 = 669.35 : x
  2. Step 2: Convert to fraction form
    1,089.79/1,502.24 = 669.35/x
  3. Step 3: Cross multiply
    1,089.79x = 1,502.24 × 669.35
  4. Step 4: Simplify right side
    1,089.79x = 1,005,524.75
  5. Step 5: Solve for x
    x = 1,005,524.75/1,089.79
  6. Step 6: Final answer
    x = 922.68

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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.