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Finding the Fourth Proportional to 720.41, 992.85 and 523.58

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Solution

The fourth proportional to 720.41, 992.85 and 523.58 is: 721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.41 : 992.85 = 523.58 : x
  2. Step 2: Convert to fraction form
    720.41/992.85 = 523.58/x
  3. Step 3: Cross multiply
    720.41x = 992.85 × 523.58
  4. Step 4: Simplify right side
    720.41x = 519,836.40
  5. Step 5: Solve for x
    x = 519,836.40/720.41
  6. Step 6: Final answer
    x = 721.58

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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.