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Finding the Fourth Proportional to 936.41, 1,292.55 and 642.11

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Solution

The fourth proportional to 936.41, 1,292.55 and 642.11 is: 886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.41 : 1,292.55 = 642.11 : x
  2. Step 2: Convert to fraction form
    936.41/1,292.55 = 642.11/x
  3. Step 3: Cross multiply
    936.41x = 1,292.55 × 642.11
  4. Step 4: Simplify right side
    936.41x = 829,959.28
  5. Step 5: Solve for x
    x = 829,959.28/936.41
  6. Step 6: Final answer
    x = 886.32

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.