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Finding the Fourth Proportional to 523.05, 784.58 and 230.49

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Solution

The fourth proportional to 523.05, 784.58 and 230.49 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 784.58 = 230.49 : x
  2. Step 2: Convert to fraction form
    523.05/784.58 = 230.49/x
  3. Step 3: Cross multiply
    523.05x = 784.58 × 230.49
  4. Step 4: Simplify right side
    523.05x = 180,833.92
  5. Step 5: Solve for x
    x = 180,833.92/523.05
  6. Step 6: Final answer
    x = 345.73

Related Problems

Find fourth proportional to 261.53, 392.29 and 115.24
Half scale
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Double scale
Find fourth proportional to 524.05, 786.08 and 231.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.