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Finding the Fourth Proportional to 910.62, 1,365.87 and 423.69

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Solution

The fourth proportional to 910.62, 1,365.87 and 423.69 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.62 : 1,365.87 = 423.69 : x
  2. Step 2: Convert to fraction form
    910.62/1,365.87 = 423.69/x
  3. Step 3: Cross multiply
    910.62x = 1,365.87 × 423.69
  4. Step 4: Simplify right side
    910.62x = 578,705.46
  5. Step 5: Solve for x
    x = 578,705.46/910.62
  6. Step 6: Final answer
    x = 635.51

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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.