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Finding the Fourth Proportional to 893.94, 1,340.02 and 431.59

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Solution

The fourth proportional to 893.94, 1,340.02 and 431.59 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.94 : 1,340.02 = 431.59 : x
  2. Step 2: Convert to fraction form
    893.94/1,340.02 = 431.59/x
  3. Step 3: Cross multiply
    893.94x = 1,340.02 × 431.59
  4. Step 4: Simplify right side
    893.94x = 578,339.23
  5. Step 5: Solve for x
    x = 578,339.23/893.94
  6. Step 6: Final answer
    x = 646.96

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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.