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Finding the Fourth Proportional to 523.58, 720.98 and 375.95

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Solution

The fourth proportional to 523.58, 720.98 and 375.95 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.58 : 720.98 = 375.95 : x
  2. Step 2: Convert to fraction form
    523.58/720.98 = 375.95/x
  3. Step 3: Cross multiply
    523.58x = 720.98 × 375.95
  4. Step 4: Simplify right side
    523.58x = 271,053.76
  5. Step 5: Solve for x
    x = 271,053.76/523.58
  6. Step 6: Final answer
    x = 517.70

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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.