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Finding the Fourth Proportional to 520.16, 718.55 and 415.94

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Solution

The fourth proportional to 520.16, 718.55 and 415.94 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 718.55 = 415.94 : x
  2. Step 2: Convert to fraction form
    520.16/718.55 = 415.94/x
  3. Step 3: Cross multiply
    520.16x = 718.55 × 415.94
  4. Step 4: Simplify right side
    520.16x = 298,871.13
  5. Step 5: Solve for x
    x = 298,871.13/520.16
  6. Step 6: Final answer
    x = 574.58

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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.