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Finding the Fourth Proportional to 523.38, 784.60 and 263.01

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Solution

The fourth proportional to 523.38, 784.60 and 263.01 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 784.60 = 263.01 : x
  2. Step 2: Convert to fraction form
    523.38/784.60 = 263.01/x
  3. Step 3: Cross multiply
    523.38x = 784.60 × 263.01
  4. Step 4: Simplify right side
    523.38x = 206,354.79
  5. Step 5: Solve for x
    x = 206,354.79/523.38
  6. Step 6: Final answer
    x = 394.27

Related Problems

Find fourth proportional to 261.69, 392.30 and 131.50
Half scale
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Double scale
Find fourth proportional to 524.38, 786.10 and 264.01
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.