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Finding the Fourth Proportional to 893.69, 1,340.91 and 373.80

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Solution

The fourth proportional to 893.69, 1,340.91 and 373.80 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.69 : 1,340.91 = 373.80 : x
  2. Step 2: Convert to fraction form
    893.69/1,340.91 = 373.80/x
  3. Step 3: Cross multiply
    893.69x = 1,340.91 × 373.80
  4. Step 4: Simplify right side
    893.69x = 501,232.16
  5. Step 5: Solve for x
    x = 501,232.16/893.69
  6. Step 6: Final answer
    x = 560.86

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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.