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Finding the Fourth Proportional to 922.76, 1,273.38 and 503.09

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Solution

The fourth proportional to 922.76, 1,273.38 and 503.09 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,273.38 = 503.09 : x
  2. Step 2: Convert to fraction form
    922.76/1,273.38 = 503.09/x
  3. Step 3: Cross multiply
    922.76x = 1,273.38 × 503.09
  4. Step 4: Simplify right side
    922.76x = 640,624.74
  5. Step 5: Solve for x
    x = 640,624.74/922.76
  6. Step 6: Final answer
    x = 694.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.