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Finding the Fourth Proportional to 528.60, 729.45 and 292.51

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Solution

The fourth proportional to 528.60, 729.45 and 292.51 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.60 : 729.45 = 292.51 : x
  2. Step 2: Convert to fraction form
    528.60/729.45 = 292.51/x
  3. Step 3: Cross multiply
    528.60x = 729.45 × 292.51
  4. Step 4: Simplify right side
    528.60x = 213,371.42
  5. Step 5: Solve for x
    x = 213,371.42/528.60
  6. Step 6: Final answer
    x = 403.65

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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.