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Finding the Fourth Proportional to 529.73, 730.99 and 419.47

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Solution

The fourth proportional to 529.73, 730.99 and 419.47 is: 578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.73 : 730.99 = 419.47 : x
  2. Step 2: Convert to fraction form
    529.73/730.99 = 419.47/x
  3. Step 3: Cross multiply
    529.73x = 730.99 × 419.47
  4. Step 4: Simplify right side
    529.73x = 306,628.38
  5. Step 5: Solve for x
    x = 306,628.38/529.73
  6. Step 6: Final answer
    x = 578.84

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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.