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Finding the Fourth Proportional to 520.29, 717.06 and 460.56

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Solution

The fourth proportional to 520.29, 717.06 and 460.56 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 717.06 = 460.56 : x
  2. Step 2: Convert to fraction form
    520.29/717.06 = 460.56/x
  3. Step 3: Cross multiply
    520.29x = 717.06 × 460.56
  4. Step 4: Simplify right side
    520.29x = 330,249.15
  5. Step 5: Solve for x
    x = 330,249.15/520.29
  6. Step 6: Final answer
    x = 634.74

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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.