Home / 1,509.03-2,263.56-413.40

Finding the Fourth Proportional to 1,509.03, 2,263.56 and 413.40

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Solution

The fourth proportional to 1,509.03, 2,263.56 and 413.40 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.03 : 2,263.56 = 413.40 : x
  2. Step 2: Convert to fraction form
    1,509.03/2,263.56 = 413.40/x
  3. Step 3: Cross multiply
    1,509.03x = 2,263.56 × 413.40
  4. Step 4: Simplify right side
    1,509.03x = 935,755.70
  5. Step 5: Solve for x
    x = 935,755.70/1,509.03
  6. Step 6: Final answer
    x = 620.10

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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.