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Finding the Fourth Proportional to 1,031.71, 1,424.01 and 638.50

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Solution

The fourth proportional to 1,031.71, 1,424.01 and 638.50 is: 881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.71 : 1,424.01 = 638.50 : x
  2. Step 2: Convert to fraction form
    1,031.71/1,424.01 = 638.50/x
  3. Step 3: Cross multiply
    1,031.71x = 1,424.01 × 638.50
  4. Step 4: Simplify right side
    1,031.71x = 909,230.39
  5. Step 5: Solve for x
    x = 909,230.39/1,031.71
  6. Step 6: Final answer
    x = 881.28

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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.