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Finding the Fourth Proportional to 1,506.07, 2,257.62 and 880.57

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Solution

The fourth proportional to 1,506.07, 2,257.62 and 880.57 is: 1,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.07 : 2,257.62 = 880.57 : x
  2. Step 2: Convert to fraction form
    1,506.07/2,257.62 = 880.57/x
  3. Step 3: Cross multiply
    1,506.07x = 2,257.62 × 880.57
  4. Step 4: Simplify right side
    1,506.07x = 1,987,992.44
  5. Step 5: Solve for x
    x = 1,987,992.44/1,506.07
  6. Step 6: Final answer
    x = 1,319.99

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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.