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Finding the Fourth Proportional to 529.76, 727.99 and 442.28

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Solution

The fourth proportional to 529.76, 727.99 and 442.28 is: 607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 727.99 = 442.28 : x
  2. Step 2: Convert to fraction form
    529.76/727.99 = 442.28/x
  3. Step 3: Cross multiply
    529.76x = 727.99 × 442.28
  4. Step 4: Simplify right side
    529.76x = 321,973.21
  5. Step 5: Solve for x
    x = 321,973.21/529.76
  6. Step 6: Final answer
    x = 607.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.