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Finding the Fourth Proportional to 893.80, 1,337.82 and 460.36

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Solution

The fourth proportional to 893.80, 1,337.82 and 460.36 is: 689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,337.82 = 460.36 : x
  2. Step 2: Convert to fraction form
    893.80/1,337.82 = 460.36/x
  3. Step 3: Cross multiply
    893.80x = 1,337.82 × 460.36
  4. Step 4: Simplify right side
    893.80x = 615,878.82
  5. Step 5: Solve for x
    x = 615,878.82/893.80
  6. Step 6: Final answer
    x = 689.06

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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.