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Finding the Fourth Proportional to 988.40, 1,364.15 and 669.23

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Solution

The fourth proportional to 988.40, 1,364.15 and 669.23 is: 923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.40 : 1,364.15 = 669.23 : x
  2. Step 2: Convert to fraction form
    988.40/1,364.15 = 669.23/x
  3. Step 3: Cross multiply
    988.40x = 1,364.15 × 669.23
  4. Step 4: Simplify right side
    988.40x = 912,924.96
  5. Step 5: Solve for x
    x = 912,924.96/988.40
  6. Step 6: Final answer
    x = 923.64

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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.