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Finding the Fourth Proportional to 520.44, 716.63 and 487.40

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Solution

The fourth proportional to 520.44, 716.63 and 487.40 is: 671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 716.63 = 487.40 : x
  2. Step 2: Convert to fraction form
    520.44/716.63 = 487.40/x
  3. Step 3: Cross multiply
    520.44x = 716.63 × 487.40
  4. Step 4: Simplify right side
    520.44x = 349,279.44
  5. Step 5: Solve for x
    x = 349,279.44/520.44
  6. Step 6: Final answer
    x = 671.12

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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.