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Finding the Fourth Proportional to 686.50, 1,030.10 and 275.94

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Solution

The fourth proportional to 686.50, 1,030.10 and 275.94 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.50 : 1,030.10 = 275.94 : x
  2. Step 2: Convert to fraction form
    686.50/1,030.10 = 275.94/x
  3. Step 3: Cross multiply
    686.50x = 1,030.10 × 275.94
  4. Step 4: Simplify right side
    686.50x = 284,244.41
  5. Step 5: Solve for x
    x = 284,244.41/686.50
  6. Step 6: Final answer
    x = 414.05

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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.