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Finding the Fourth Proportional to 529.58, 730.77 and 419.33

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Solution

The fourth proportional to 529.58, 730.77 and 419.33 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.58 : 730.77 = 419.33 : x
  2. Step 2: Convert to fraction form
    529.58/730.77 = 419.33/x
  3. Step 3: Cross multiply
    529.58x = 730.77 × 419.33
  4. Step 4: Simplify right side
    529.58x = 306,433.78
  5. Step 5: Solve for x
    x = 306,433.78/529.58
  6. Step 6: Final answer
    x = 578.64

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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.