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Finding the Fourth Proportional to 949.97, 1,426.54 and 587.07

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Solution

The fourth proportional to 949.97, 1,426.54 and 587.07 is: 881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.97 : 1,426.54 = 587.07 : x
  2. Step 2: Convert to fraction form
    949.97/1,426.54 = 587.07/x
  3. Step 3: Cross multiply
    949.97x = 1,426.54 × 587.07
  4. Step 4: Simplify right side
    949.97x = 837,476.64
  5. Step 5: Solve for x
    x = 837,476.64/949.97
  6. Step 6: Final answer
    x = 881.58

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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.