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Finding the Fourth Proportional to 614.24, 846.72 and 520.64

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Solution

The fourth proportional to 614.24, 846.72 and 520.64 is: 717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.24 : 846.72 = 520.64 : x
  2. Step 2: Convert to fraction form
    614.24/846.72 = 520.64/x
  3. Step 3: Cross multiply
    614.24x = 846.72 × 520.64
  4. Step 4: Simplify right side
    614.24x = 440,836.30
  5. Step 5: Solve for x
    x = 440,836.30/614.24
  6. Step 6: Final answer
    x = 717.69

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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.