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Finding the Fourth Proportional to 529.60, 729.80 and 398.48

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Solution

The fourth proportional to 529.60, 729.80 and 398.48 is: 549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 729.80 = 398.48 : x
  2. Step 2: Convert to fraction form
    529.60/729.80 = 398.48/x
  3. Step 3: Cross multiply
    529.60x = 729.80 × 398.48
  4. Step 4: Simplify right side
    529.60x = 290,810.70
  5. Step 5: Solve for x
    x = 290,810.70/529.60
  6. Step 6: Final answer
    x = 549.11

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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.