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Finding the Fourth Proportional to 520.21, 716.20 and 466.57

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Solution

The fourth proportional to 520.21, 716.20 and 466.57 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.21 : 716.20 = 466.57 : x
  2. Step 2: Convert to fraction form
    520.21/716.20 = 466.57/x
  3. Step 3: Cross multiply
    520.21x = 716.20 × 466.57
  4. Step 4: Simplify right side
    520.21x = 334,157.43
  5. Step 5: Solve for x
    x = 334,157.43/520.21
  6. Step 6: Final answer
    x = 642.35

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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.