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Finding the Fourth Proportional to 1,047.61, 1,571.42 and 499.66

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Solution

The fourth proportional to 1,047.61, 1,571.42 and 499.66 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.61 : 1,571.42 = 499.66 : x
  2. Step 2: Convert to fraction form
    1,047.61/1,571.42 = 499.66/x
  3. Step 3: Cross multiply
    1,047.61x = 1,571.42 × 499.66
  4. Step 4: Simplify right side
    1,047.61x = 785,183.08
  5. Step 5: Solve for x
    x = 785,183.08/1,047.61
  6. Step 6: Final answer
    x = 749.50

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Double scale
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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.