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Finding the Fourth Proportional to 523.32, 721.80 and 357.36

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Solution

The fourth proportional to 523.32, 721.80 and 357.36 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 721.80 = 357.36 : x
  2. Step 2: Convert to fraction form
    523.32/721.80 = 357.36/x
  3. Step 3: Cross multiply
    523.32x = 721.80 × 357.36
  4. Step 4: Simplify right side
    523.32x = 257,942.45
  5. Step 5: Solve for x
    x = 257,942.45/523.32
  6. Step 6: Final answer
    x = 492.90

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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.