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Finding the Fourth Proportional to 909.66, 1,365.17 and 423.05

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Solution

The fourth proportional to 909.66, 1,365.17 and 423.05 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.66 : 1,365.17 = 423.05 : x
  2. Step 2: Convert to fraction form
    909.66/1,365.17 = 423.05/x
  3. Step 3: Cross multiply
    909.66x = 1,365.17 × 423.05
  4. Step 4: Simplify right side
    909.66x = 577,533.05
  5. Step 5: Solve for x
    x = 577,533.05/909.66
  6. Step 6: Final answer
    x = 634.89

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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.