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Finding the Fourth Proportional to 1,515.71, 2,272.88 and 475.47

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Solution

The fourth proportional to 1,515.71, 2,272.88 and 475.47 is: 712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.71 : 2,272.88 = 475.47 : x
  2. Step 2: Convert to fraction form
    1,515.71/2,272.88 = 475.47/x
  3. Step 3: Cross multiply
    1,515.71x = 2,272.88 × 475.47
  4. Step 4: Simplify right side
    1,515.71x = 1,080,672.51
  5. Step 5: Solve for x
    x = 1,080,672.51/1,515.71
  6. Step 6: Final answer
    x = 712.98

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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.