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Finding the Fourth Proportional to 686.96, 1,030.61 and 302.30

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Solution

The fourth proportional to 686.96, 1,030.61 and 302.30 is: 453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 1,030.61 = 302.30 : x
  2. Step 2: Convert to fraction form
    686.96/1,030.61 = 302.30/x
  3. Step 3: Cross multiply
    686.96x = 1,030.61 × 302.30
  4. Step 4: Simplify right side
    686.96x = 311,549.01
  5. Step 5: Solve for x
    x = 311,549.01/686.96
  6. Step 6: Final answer
    x = 453.52

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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.