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Finding the Fourth Proportional to 1,511.76, 2,266.44 and 587.28

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Solution

The fourth proportional to 1,511.76, 2,266.44 and 587.28 is: 880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.76 : 2,266.44 = 587.28 : x
  2. Step 2: Convert to fraction form
    1,511.76/2,266.44 = 587.28/x
  3. Step 3: Cross multiply
    1,511.76x = 2,266.44 × 587.28
  4. Step 4: Simplify right side
    1,511.76x = 1,331,034.88
  5. Step 5: Solve for x
    x = 1,331,034.88/1,511.76
  6. Step 6: Final answer
    x = 880.45

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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.