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Finding the Fourth Proportional to 1,009.05, 1,504.95 and 886.46

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Solution

The fourth proportional to 1,009.05, 1,504.95 and 886.46 is: 1,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.05 : 1,504.95 = 886.46 : x
  2. Step 2: Convert to fraction form
    1,009.05/1,504.95 = 886.46/x
  3. Step 3: Cross multiply
    1,009.05x = 1,504.95 × 886.46
  4. Step 4: Simplify right side
    1,009.05x = 1,334,077.98
  5. Step 5: Solve for x
    x = 1,334,077.98/1,009.05
  6. Step 6: Final answer
    x = 1,322.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.