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Finding the Fourth Proportional to 710.93, 980.99 and 396.16

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Solution

The fourth proportional to 710.93, 980.99 and 396.16 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 980.99 = 396.16 : x
  2. Step 2: Convert to fraction form
    710.93/980.99 = 396.16/x
  3. Step 3: Cross multiply
    710.93x = 980.99 × 396.16
  4. Step 4: Simplify right side
    710.93x = 388,625.16
  5. Step 5: Solve for x
    x = 388,625.16/710.93
  6. Step 6: Final answer
    x = 546.64

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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.