Home / 1,509.25-2,264.20-469.23

Finding the Fourth Proportional to 1,509.25, 2,264.20 and 469.23

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Solution

The fourth proportional to 1,509.25, 2,264.20 and 469.23 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.25 : 2,264.20 = 469.23 : x
  2. Step 2: Convert to fraction form
    1,509.25/2,264.20 = 469.23/x
  3. Step 3: Cross multiply
    1,509.25x = 2,264.20 × 469.23
  4. Step 4: Simplify right side
    1,509.25x = 1,062,429.39
  5. Step 5: Solve for x
    x = 1,062,429.39/1,509.25
  6. Step 6: Final answer
    x = 703.95

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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.