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Finding the Fourth Proportional to 893.70, 1,340.55 and 407.70

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Solution

The fourth proportional to 893.70, 1,340.55 and 407.70 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,340.55 = 407.70 : x
  2. Step 2: Convert to fraction form
    893.70/1,340.55 = 407.70/x
  3. Step 3: Cross multiply
    893.70x = 1,340.55 × 407.70
  4. Step 4: Simplify right side
    893.70x = 546,542.24
  5. Step 5: Solve for x
    x = 546,542.24/893.70
  6. Step 6: Final answer
    x = 611.55

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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.