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Finding the Fourth Proportional to 1,415.04, 1,953.56 and 884.12

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Solution

The fourth proportional to 1,415.04, 1,953.56 and 884.12 is: 1,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.04 : 1,953.56 = 884.12 : x
  2. Step 2: Convert to fraction form
    1,415.04/1,953.56 = 884.12/x
  3. Step 3: Cross multiply
    1,415.04x = 1,953.56 × 884.12
  4. Step 4: Simplify right side
    1,415.04x = 1,727,181.47
  5. Step 5: Solve for x
    x = 1,727,181.47/1,415.04
  6. Step 6: Final answer
    x = 1,220.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.