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Finding the Fourth Proportional to 895.35, 1,340.96 and 431.63

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Solution

The fourth proportional to 895.35, 1,340.96 and 431.63 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,340.96 = 431.63 : x
  2. Step 2: Convert to fraction form
    895.35/1,340.96 = 431.63/x
  3. Step 3: Cross multiply
    895.35x = 1,340.96 × 431.63
  4. Step 4: Simplify right side
    895.35x = 578,794.73
  5. Step 5: Solve for x
    x = 578,794.73/895.35
  6. Step 6: Final answer
    x = 646.44

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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.