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Finding the Fourth Proportional to 1,223.84, 1,833.96 and 897.68

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Solution

The fourth proportional to 1,223.84, 1,833.96 and 897.68 is: 1,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.84 : 1,833.96 = 897.68 : x
  2. Step 2: Convert to fraction form
    1,223.84/1,833.96 = 897.68/x
  3. Step 3: Cross multiply
    1,223.84x = 1,833.96 × 897.68
  4. Step 4: Simplify right side
    1,223.84x = 1,646,309.21
  5. Step 5: Solve for x
    x = 1,646,309.21/1,223.84
  6. Step 6: Final answer
    x = 1,345.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.