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Finding the Fourth Proportional to 704.93, 971.77 and 494.47

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Solution

The fourth proportional to 704.93, 971.77 and 494.47 is: 681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.93 : 971.77 = 494.47 : x
  2. Step 2: Convert to fraction form
    704.93/971.77 = 494.47/x
  3. Step 3: Cross multiply
    704.93x = 971.77 × 494.47
  4. Step 4: Simplify right side
    704.93x = 480,507.45
  5. Step 5: Solve for x
    x = 480,507.45/704.93
  6. Step 6: Final answer
    x = 681.64

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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.