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Finding the Fourth Proportional to 686.48, 1,030.17 and 362.07

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Solution

The fourth proportional to 686.48, 1,030.17 and 362.07 is: 543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.48 : 1,030.17 = 362.07 : x
  2. Step 2: Convert to fraction form
    686.48/1,030.17 = 362.07/x
  3. Step 3: Cross multiply
    686.48x = 1,030.17 × 362.07
  4. Step 4: Simplify right side
    686.48x = 372,998.87
  5. Step 5: Solve for x
    x = 372,998.87/686.48
  6. Step 6: Final answer
    x = 543.35

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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.