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Finding the Fourth Proportional to 1,394.08, 1,924.39 and 897.35

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Solution

The fourth proportional to 1,394.08, 1,924.39 and 897.35 is: 1,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.08 : 1,924.39 = 897.35 : x
  2. Step 2: Convert to fraction form
    1,394.08/1,924.39 = 897.35/x
  3. Step 3: Cross multiply
    1,394.08x = 1,924.39 × 897.35
  4. Step 4: Simplify right side
    1,394.08x = 1,726,842.87
  5. Step 5: Solve for x
    x = 1,726,842.87/1,394.08
  6. Step 6: Final answer
    x = 1,238.70

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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.