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Finding the Fourth Proportional to 687.04, 1,030.40 and 199.96

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Solution

The fourth proportional to 687.04, 1,030.40 and 199.96 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.04 : 1,030.40 = 199.96 : x
  2. Step 2: Convert to fraction form
    687.04/1,030.40 = 199.96/x
  3. Step 3: Cross multiply
    687.04x = 1,030.40 × 199.96
  4. Step 4: Simplify right side
    687.04x = 206,038.78
  5. Step 5: Solve for x
    x = 206,038.78/687.04
  6. Step 6: Final answer
    x = 299.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.