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Finding the Fourth Proportional to 522.60, 720.88 and 398.28

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Solution

The fourth proportional to 522.60, 720.88 and 398.28 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 720.88 = 398.28 : x
  2. Step 2: Convert to fraction form
    522.60/720.88 = 398.28/x
  3. Step 3: Cross multiply
    522.60x = 720.88 × 398.28
  4. Step 4: Simplify right side
    522.60x = 287,112.09
  5. Step 5: Solve for x
    x = 287,112.09/522.60
  6. Step 6: Final answer
    x = 549.39

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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.