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Finding the Fourth Proportional to 529.60, 730.40 and 467.48

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Solution

The fourth proportional to 529.60, 730.40 and 467.48 is: 644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 730.40 = 467.48 : x
  2. Step 2: Convert to fraction form
    529.60/730.40 = 467.48/x
  3. Step 3: Cross multiply
    529.60x = 730.40 × 467.48
  4. Step 4: Simplify right side
    529.60x = 341,447.39
  5. Step 5: Solve for x
    x = 341,447.39/529.60
  6. Step 6: Final answer
    x = 644.73

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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.