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Finding the Fourth Proportional to 1,117.49, 1,668.71 and 912.46

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Solution

The fourth proportional to 1,117.49, 1,668.71 and 912.46 is: 1,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.49 : 1,668.71 = 912.46 : x
  2. Step 2: Convert to fraction form
    1,117.49/1,668.71 = 912.46/x
  3. Step 3: Cross multiply
    1,117.49x = 1,668.71 × 912.46
  4. Step 4: Simplify right side
    1,117.49x = 1,522,622.39
  5. Step 5: Solve for x
    x = 1,522,622.39/1,117.49
  6. Step 6: Final answer
    x = 1,362.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.