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Finding the Fourth Proportional to 894.40, 1,341.08 and 431.82

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Solution

The fourth proportional to 894.40, 1,341.08 and 431.82 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,341.08 = 431.82 : x
  2. Step 2: Convert to fraction form
    894.40/1,341.08 = 431.82/x
  3. Step 3: Cross multiply
    894.40x = 1,341.08 × 431.82
  4. Step 4: Simplify right side
    894.40x = 579,105.17
  5. Step 5: Solve for x
    x = 579,105.17/894.40
  6. Step 6: Final answer
    x = 647.48

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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.