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Finding the Fourth Proportional to 520.96, 781.46 and 174.32

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Solution

The fourth proportional to 520.96, 781.46 and 174.32 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 781.46 = 174.32 : x
  2. Step 2: Convert to fraction form
    520.96/781.46 = 174.32/x
  3. Step 3: Cross multiply
    520.96x = 781.46 × 174.32
  4. Step 4: Simplify right side
    520.96x = 136,224.11
  5. Step 5: Solve for x
    x = 136,224.11/520.96
  6. Step 6: Final answer
    x = 261.49

Related Problems

Find fourth proportional to 260.48, 390.73 and 87.16
Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.