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Finding the Fourth Proportional to 862.84, 1,188.97 and 626.02

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Solution

The fourth proportional to 862.84, 1,188.97 and 626.02 is: 862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,188.97 = 626.02 : x
  2. Step 2: Convert to fraction form
    862.84/1,188.97 = 626.02/x
  3. Step 3: Cross multiply
    862.84x = 1,188.97 × 626.02
  4. Step 4: Simplify right side
    862.84x = 744,319.00
  5. Step 5: Solve for x
    x = 744,319.00/862.84
  6. Step 6: Final answer
    x = 862.64

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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.