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Finding the Fourth Proportional to 523.08, 721.74 and 290.19

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Solution

The fourth proportional to 523.08, 721.74 and 290.19 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 721.74 = 290.19 : x
  2. Step 2: Convert to fraction form
    523.08/721.74 = 290.19/x
  3. Step 3: Cross multiply
    523.08x = 721.74 × 290.19
  4. Step 4: Simplify right side
    523.08x = 209,441.73
  5. Step 5: Solve for x
    x = 209,441.73/523.08
  6. Step 6: Final answer
    x = 400.40

Related Problems

Find fourth proportional to 261.54, 360.87 and 145.10
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Double scale
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Similar ratio
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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.