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Finding the Fourth Proportional to 520.56, 718.67 and 415.32

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Solution

The fourth proportional to 520.56, 718.67 and 415.32 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 718.67 = 415.32 : x
  2. Step 2: Convert to fraction form
    520.56/718.67 = 415.32/x
  3. Step 3: Cross multiply
    520.56x = 718.67 × 415.32
  4. Step 4: Simplify right side
    520.56x = 298,478.02
  5. Step 5: Solve for x
    x = 298,478.02/520.56
  6. Step 6: Final answer
    x = 573.38

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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.