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Finding the Fourth Proportional to 1,248.53, 1,865.21 and 894.33

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Solution

The fourth proportional to 1,248.53, 1,865.21 and 894.33 is: 1,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.53 : 1,865.21 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,248.53/1,865.21 = 894.33/x
  3. Step 3: Cross multiply
    1,248.53x = 1,865.21 × 894.33
  4. Step 4: Simplify right side
    1,248.53x = 1,668,113.26
  5. Step 5: Solve for x
    x = 1,668,113.26/1,248.53
  6. Step 6: Final answer
    x = 1,336.06

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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.