Home / 1,506.11-2,258.35-465.80

Finding the Fourth Proportional to 1,506.11, 2,258.35 and 465.80

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Solution

The fourth proportional to 1,506.11, 2,258.35 and 465.80 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.11 : 2,258.35 = 465.80 : x
  2. Step 2: Convert to fraction form
    1,506.11/2,258.35 = 465.80/x
  3. Step 3: Cross multiply
    1,506.11x = 2,258.35 × 465.80
  4. Step 4: Simplify right side
    1,506.11x = 1,051,926.97
  5. Step 5: Solve for x
    x = 1,051,926.97/1,506.11
  6. Step 6: Final answer
    x = 698.44

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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.