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Finding the Fourth Proportional to 529.40, 730.66 and 333.02

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Solution

The fourth proportional to 529.40, 730.66 and 333.02 is: 459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 730.66 = 333.02 : x
  2. Step 2: Convert to fraction form
    529.40/730.66 = 333.02/x
  3. Step 3: Cross multiply
    529.40x = 730.66 × 333.02
  4. Step 4: Simplify right side
    529.40x = 243,319.91
  5. Step 5: Solve for x
    x = 243,319.91/529.40
  6. Step 6: Final answer
    x = 459.62

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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.