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Finding the Fourth Proportional to 720.52, 991.38 and 704.14

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Solution

The fourth proportional to 720.52, 991.38 and 704.14 is: 968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.52 : 991.38 = 704.14 : x
  2. Step 2: Convert to fraction form
    720.52/991.38 = 704.14/x
  3. Step 3: Cross multiply
    720.52x = 991.38 × 704.14
  4. Step 4: Simplify right side
    720.52x = 698,070.31
  5. Step 5: Solve for x
    x = 698,070.31/720.52
  6. Step 6: Final answer
    x = 968.84

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1.5x scale

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.