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Finding the Fourth Proportional to 894.27, 1,339.07 and 632.87

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Solution

The fourth proportional to 894.27, 1,339.07 and 632.87 is: 947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.27 : 1,339.07 = 632.87 : x
  2. Step 2: Convert to fraction form
    894.27/1,339.07 = 632.87/x
  3. Step 3: Cross multiply
    894.27x = 1,339.07 × 632.87
  4. Step 4: Simplify right side
    894.27x = 847,447.37
  5. Step 5: Solve for x
    x = 847,447.37/894.27
  6. Step 6: Final answer
    x = 947.64

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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.