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Finding the Fourth Proportional to 523.04, 721.59 and 365.63

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Solution

The fourth proportional to 523.04, 721.59 and 365.63 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 721.59 = 365.63 : x
  2. Step 2: Convert to fraction form
    523.04/721.59 = 365.63/x
  3. Step 3: Cross multiply
    523.04x = 721.59 × 365.63
  4. Step 4: Simplify right side
    523.04x = 263,834.95
  5. Step 5: Solve for x
    x = 263,834.95/523.04
  6. Step 6: Final answer
    x = 504.43

Related Problems

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Double scale
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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.