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Finding the Fourth Proportional to 910.13, 1,364.13 and 422.16

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Solution

The fourth proportional to 910.13, 1,364.13 and 422.16 is: 632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 1,364.13 = 422.16 : x
  2. Step 2: Convert to fraction form
    910.13/1,364.13 = 422.16/x
  3. Step 3: Cross multiply
    910.13x = 1,364.13 × 422.16
  4. Step 4: Simplify right side
    910.13x = 575,872.19
  5. Step 5: Solve for x
    x = 575,872.19/910.13
  6. Step 6: Final answer
    x = 632.74

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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.