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Finding the Fourth Proportional to 673.41, 1,006.02 and 536.73

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Solution

The fourth proportional to 673.41, 1,006.02 and 536.73 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 1,006.02 = 536.73 : x
  2. Step 2: Convert to fraction form
    673.41/1,006.02 = 536.73/x
  3. Step 3: Cross multiply
    673.41x = 1,006.02 × 536.73
  4. Step 4: Simplify right side
    673.41x = 539,957.34
  5. Step 5: Solve for x
    x = 539,957.34/673.41
  6. Step 6: Final answer
    x = 801.82

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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.