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Finding the Fourth Proportional to 893.15, 1,339.01 and 454.40

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Solution

The fourth proportional to 893.15, 1,339.01 and 454.40 is: 681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.15 : 1,339.01 = 454.40 : x
  2. Step 2: Convert to fraction form
    893.15/1,339.01 = 454.40/x
  3. Step 3: Cross multiply
    893.15x = 1,339.01 × 454.40
  4. Step 4: Simplify right side
    893.15x = 608,446.14
  5. Step 5: Solve for x
    x = 608,446.14/893.15
  6. Step 6: Final answer
    x = 681.24

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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.