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Finding the Fourth Proportional to 910.44, 1,366.06 and 423.42

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Solution

The fourth proportional to 910.44, 1,366.06 and 423.42 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.44 : 1,366.06 = 423.42 : x
  2. Step 2: Convert to fraction form
    910.44/1,366.06 = 423.42/x
  3. Step 3: Cross multiply
    910.44x = 1,366.06 × 423.42
  4. Step 4: Simplify right side
    910.44x = 578,417.13
  5. Step 5: Solve for x
    x = 578,417.13/910.44
  6. Step 6: Final answer
    x = 635.32

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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.