Home / 1,508.90-2,263.48-413.26

Finding the Fourth Proportional to 1,508.90, 2,263.48 and 413.26

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Solution

The fourth proportional to 1,508.90, 2,263.48 and 413.26 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.90 : 2,263.48 = 413.26 : x
  2. Step 2: Convert to fraction form
    1,508.90/2,263.48 = 413.26/x
  3. Step 3: Cross multiply
    1,508.90x = 2,263.48 × 413.26
  4. Step 4: Simplify right side
    1,508.90x = 935,405.74
  5. Step 5: Solve for x
    x = 935,405.74/1,508.90
  6. Step 6: Final answer
    x = 619.93

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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.