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Finding the Fourth Proportional to 1,113.35, 1,536.34 and 615.95

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Solution

The fourth proportional to 1,113.35, 1,536.34 and 615.95 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.35 : 1,536.34 = 615.95 : x
  2. Step 2: Convert to fraction form
    1,113.35/1,536.34 = 615.95/x
  3. Step 3: Cross multiply
    1,113.35x = 1,536.34 × 615.95
  4. Step 4: Simplify right side
    1,113.35x = 946,316.69
  5. Step 5: Solve for x
    x = 946,316.69/1,113.35
  6. Step 6: Final answer
    x = 849.97

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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.