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Finding the Fourth Proportional to 913.83, 1,364.84 and 826.98

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Solution

The fourth proportional to 913.83, 1,364.84 and 826.98 is: 1,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.83 : 1,364.84 = 826.98 : x
  2. Step 2: Convert to fraction form
    913.83/1,364.84 = 826.98/x
  3. Step 3: Cross multiply
    913.83x = 1,364.84 × 826.98
  4. Step 4: Simplify right side
    913.83x = 1,128,691.25
  5. Step 5: Solve for x
    x = 1,128,691.25/913.83
  6. Step 6: Final answer
    x = 1,235.12

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.