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Finding the Fourth Proportional to 909.70, 1,365.62 and 544.66

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Solution

The fourth proportional to 909.70, 1,365.62 and 544.66 is: 817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.70 : 1,365.62 = 544.66 : x
  2. Step 2: Convert to fraction form
    909.70/1,365.62 = 544.66/x
  3. Step 3: Cross multiply
    909.70x = 1,365.62 × 544.66
  4. Step 4: Simplify right side
    909.70x = 743,798.59
  5. Step 5: Solve for x
    x = 743,798.59/909.70
  6. Step 6: Final answer
    x = 817.63

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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.