Home / 1,509.01-2,263.24-413.23

Finding the Fourth Proportional to 1,509.01, 2,263.24 and 413.23

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Solution

The fourth proportional to 1,509.01, 2,263.24 and 413.23 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.01 : 2,263.24 = 413.23 : x
  2. Step 2: Convert to fraction form
    1,509.01/2,263.24 = 413.23/x
  3. Step 3: Cross multiply
    1,509.01x = 2,263.24 × 413.23
  4. Step 4: Simplify right side
    1,509.01x = 935,238.67
  5. Step 5: Solve for x
    x = 935,238.67/1,509.01
  6. Step 6: Final answer
    x = 619.77

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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.