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Finding the Fourth Proportional to 523.99, 723.13 and 346.64

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Solution

The fourth proportional to 523.99, 723.13 and 346.64 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 723.13 = 346.64 : x
  2. Step 2: Convert to fraction form
    523.99/723.13 = 346.64/x
  3. Step 3: Cross multiply
    523.99x = 723.13 × 346.64
  4. Step 4: Simplify right side
    523.99x = 250,667.05
  5. Step 5: Solve for x
    x = 250,667.05/523.99
  6. Step 6: Final answer
    x = 478.39

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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.