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Finding the Fourth Proportional to 529.80, 730.92 and 405.33

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Solution

The fourth proportional to 529.80, 730.92 and 405.33 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 730.92 = 405.33 : x
  2. Step 2: Convert to fraction form
    529.80/730.92 = 405.33/x
  3. Step 3: Cross multiply
    529.80x = 730.92 × 405.33
  4. Step 4: Simplify right side
    529.80x = 296,263.80
  5. Step 5: Solve for x
    x = 296,263.80/529.80
  6. Step 6: Final answer
    x = 559.20

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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.