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Finding the Fourth Proportional to 529.42, 728.70 and 439.91

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Solution

The fourth proportional to 529.42, 728.70 and 439.91 is: 605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.42 : 728.70 = 439.91 : x
  2. Step 2: Convert to fraction form
    529.42/728.70 = 439.91/x
  3. Step 3: Cross multiply
    529.42x = 728.70 × 439.91
  4. Step 4: Simplify right side
    529.42x = 320,567.67
  5. Step 5: Solve for x
    x = 320,567.67/529.42
  6. Step 6: Final answer
    x = 605.51

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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.