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Finding the Fourth Proportional to 681.82, 1,023.64 and 624.51

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Solution

The fourth proportional to 681.82, 1,023.64 and 624.51 is: 937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 1,023.64 = 624.51 : x
  2. Step 2: Convert to fraction form
    681.82/1,023.64 = 624.51/x
  3. Step 3: Cross multiply
    681.82x = 1,023.64 × 624.51
  4. Step 4: Simplify right side
    681.82x = 639,271.86
  5. Step 5: Solve for x
    x = 639,271.86/681.82
  6. Step 6: Final answer
    x = 937.60

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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.