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Finding the Fourth Proportional to 894.13, 1,339.82 and 528.51

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Solution

The fourth proportional to 894.13, 1,339.82 and 528.51 is: 791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.13 : 1,339.82 = 528.51 : x
  2. Step 2: Convert to fraction form
    894.13/1,339.82 = 528.51/x
  3. Step 3: Cross multiply
    894.13x = 1,339.82 × 528.51
  4. Step 4: Simplify right side
    894.13x = 708,108.27
  5. Step 5: Solve for x
    x = 708,108.27/894.13
  6. Step 6: Final answer
    x = 791.95

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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.