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Finding the Fourth Proportional to 1,650.11, 2,474.25 and 553.87

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Solution

The fourth proportional to 1,650.11, 2,474.25 and 553.87 is: 830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.11 : 2,474.25 = 553.87 : x
  2. Step 2: Convert to fraction form
    1,650.11/2,474.25 = 553.87/x
  3. Step 3: Cross multiply
    1,650.11x = 2,474.25 × 553.87
  4. Step 4: Simplify right side
    1,650.11x = 1,370,413.86
  5. Step 5: Solve for x
    x = 1,370,413.86/1,650.11
  6. Step 6: Final answer
    x = 830.50

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Half scale
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Double scale
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1.5x scale

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.