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Finding the Fourth Proportional to 520.01, 717.58 and 310.42

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Solution

The fourth proportional to 520.01, 717.58 and 310.42 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.01 : 717.58 = 310.42 : x
  2. Step 2: Convert to fraction form
    520.01/717.58 = 310.42/x
  3. Step 3: Cross multiply
    520.01x = 717.58 × 310.42
  4. Step 4: Simplify right side
    520.01x = 222,748.61
  5. Step 5: Solve for x
    x = 222,748.61/520.01
  6. Step 6: Final answer
    x = 428.36

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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.