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Finding the Fourth Proportional to 703.43, 972.24 and 528.47

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Solution

The fourth proportional to 703.43, 972.24 and 528.47 is: 730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.43 : 972.24 = 528.47 : x
  2. Step 2: Convert to fraction form
    703.43/972.24 = 528.47/x
  3. Step 3: Cross multiply
    703.43x = 972.24 × 528.47
  4. Step 4: Simplify right side
    703.43x = 513,799.67
  5. Step 5: Solve for x
    x = 513,799.67/703.43
  6. Step 6: Final answer
    x = 730.42

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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.