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Finding the Fourth Proportional to 1,506.67, 2,259.88 and 519.48

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Solution

The fourth proportional to 1,506.67, 2,259.88 and 519.48 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.67 : 2,259.88 = 519.48 : x
  2. Step 2: Convert to fraction form
    1,506.67/2,259.88 = 519.48/x
  3. Step 3: Cross multiply
    1,506.67x = 2,259.88 × 519.48
  4. Step 4: Simplify right side
    1,506.67x = 1,173,959.87
  5. Step 5: Solve for x
    x = 1,173,959.87/1,506.67
  6. Step 6: Final answer
    x = 779.18

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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.