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Finding the Fourth Proportional to 654.76, 902.34 and 523.72

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Solution

The fourth proportional to 654.76, 902.34 and 523.72 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 902.34 = 523.72 : x
  2. Step 2: Convert to fraction form
    654.76/902.34 = 523.72/x
  3. Step 3: Cross multiply
    654.76x = 902.34 × 523.72
  4. Step 4: Simplify right side
    654.76x = 472,573.50
  5. Step 5: Solve for x
    x = 472,573.50/654.76
  6. Step 6: Final answer
    x = 721.75

Related Problems

Find fourth proportional to 327.38, 451.17 and 261.86
Half scale
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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.