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Finding the Fourth Proportional to 901.49, 1,350.44 and 413.87

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Solution

The fourth proportional to 901.49, 1,350.44 and 413.87 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.49 : 1,350.44 = 413.87 : x
  2. Step 2: Convert to fraction form
    901.49/1,350.44 = 413.87/x
  3. Step 3: Cross multiply
    901.49x = 1,350.44 × 413.87
  4. Step 4: Simplify right side
    901.49x = 558,907.91
  5. Step 5: Solve for x
    x = 558,907.91/901.49
  6. Step 6: Final answer
    x = 619.98

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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.