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Finding the Fourth Proportional to 529.01, 789.21 and 442.88

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Solution

The fourth proportional to 529.01, 789.21 and 442.88 is: 660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.01 : 789.21 = 442.88 : x
  2. Step 2: Convert to fraction form
    529.01/789.21 = 442.88/x
  3. Step 3: Cross multiply
    529.01x = 789.21 × 442.88
  4. Step 4: Simplify right side
    529.01x = 349,525.32
  5. Step 5: Solve for x
    x = 349,525.32/529.01
  6. Step 6: Final answer
    x = 660.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.