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Finding the Fourth Proportional to 893.16, 1,335.20 and 800.40

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Solution

The fourth proportional to 893.16, 1,335.20 and 800.40 is: 1,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,335.20 = 800.40 : x
  2. Step 2: Convert to fraction form
    893.16/1,335.20 = 800.40/x
  3. Step 3: Cross multiply
    893.16x = 1,335.20 × 800.40
  4. Step 4: Simplify right side
    893.16x = 1,068,694.08
  5. Step 5: Solve for x
    x = 1,068,694.08/893.16
  6. Step 6: Final answer
    x = 1,196.53

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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.