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Finding the Fourth Proportional to 1,394.16, 1,924.81 and 897.66

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Solution

The fourth proportional to 1,394.16, 1,924.81 and 897.66 is: 1,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.16 : 1,924.81 = 897.66 : x
  2. Step 2: Convert to fraction form
    1,394.16/1,924.81 = 897.66/x
  3. Step 3: Cross multiply
    1,394.16x = 1,924.81 × 897.66
  4. Step 4: Simplify right side
    1,394.16x = 1,727,824.94
  5. Step 5: Solve for x
    x = 1,727,824.94/1,394.16
  6. Step 6: Final answer
    x = 1,239.33

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1.5x scale

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.