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Finding the Fourth Proportional to 664.88, 992.77 and 567.68

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Solution

The fourth proportional to 664.88, 992.77 and 567.68 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 992.77 = 567.68 : x
  2. Step 2: Convert to fraction form
    664.88/992.77 = 567.68/x
  3. Step 3: Cross multiply
    664.88x = 992.77 × 567.68
  4. Step 4: Simplify right side
    664.88x = 563,575.67
  5. Step 5: Solve for x
    x = 563,575.67/664.88
  6. Step 6: Final answer
    x = 847.64

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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.