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Finding the Fourth Proportional to 909.72, 1,357.38 and 817.38

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Solution

The fourth proportional to 909.72, 1,357.38 and 817.38 is: 1,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.72 : 1,357.38 = 817.38 : x
  2. Step 2: Convert to fraction form
    909.72/1,357.38 = 817.38/x
  3. Step 3: Cross multiply
    909.72x = 1,357.38 × 817.38
  4. Step 4: Simplify right side
    909.72x = 1,109,495.26
  5. Step 5: Solve for x
    x = 1,109,495.26/909.72
  6. Step 6: Final answer
    x = 1,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.