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Finding the Fourth Proportional to 638.42, 881.65 and 529.07

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Solution

The fourth proportional to 638.42, 881.65 and 529.07 is: 730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 881.65 = 529.07 : x
  2. Step 2: Convert to fraction form
    638.42/881.65 = 529.07/x
  3. Step 3: Cross multiply
    638.42x = 881.65 × 529.07
  4. Step 4: Simplify right side
    638.42x = 466,450.82
  5. Step 5: Solve for x
    x = 466,450.82/638.42
  6. Step 6: Final answer
    x = 730.64

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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.