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Finding the Fourth Proportional to 910.75, 1,365.17 and 423.40

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Solution

The fourth proportional to 910.75, 1,365.17 and 423.40 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.75 : 1,365.17 = 423.40 : x
  2. Step 2: Convert to fraction form
    910.75/1,365.17 = 423.40/x
  3. Step 3: Cross multiply
    910.75x = 1,365.17 × 423.40
  4. Step 4: Simplify right side
    910.75x = 578,012.98
  5. Step 5: Solve for x
    x = 578,012.98/910.75
  6. Step 6: Final answer
    x = 634.66

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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.