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Finding the Fourth Proportional to 677.93, 1,011.60 and 651.24

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Solution

The fourth proportional to 677.93, 1,011.60 and 651.24 is: 971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.93 : 1,011.60 = 651.24 : x
  2. Step 2: Convert to fraction form
    677.93/1,011.60 = 651.24/x
  3. Step 3: Cross multiply
    677.93x = 1,011.60 × 651.24
  4. Step 4: Simplify right side
    677.93x = 658,794.38
  5. Step 5: Solve for x
    x = 658,794.38/677.93
  6. Step 6: Final answer
    x = 971.78

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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.