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Finding the Fourth Proportional to 529.23, 730.58 and 398.28

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Solution

The fourth proportional to 529.23, 730.58 and 398.28 is: 549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.23 : 730.58 = 398.28 : x
  2. Step 2: Convert to fraction form
    529.23/730.58 = 398.28/x
  3. Step 3: Cross multiply
    529.23x = 730.58 × 398.28
  4. Step 4: Simplify right side
    529.23x = 290,973.41
  5. Step 5: Solve for x
    x = 290,973.41/529.23
  6. Step 6: Final answer
    x = 549.81

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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.