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Finding the Fourth Proportional to 686.48, 1,030.14 and 412.83

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Solution

The fourth proportional to 686.48, 1,030.14 and 412.83 is: 619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.48 : 1,030.14 = 412.83 : x
  2. Step 2: Convert to fraction form
    686.48/1,030.14 = 412.83/x
  3. Step 3: Cross multiply
    686.48x = 1,030.14 × 412.83
  4. Step 4: Simplify right side
    686.48x = 425,272.70
  5. Step 5: Solve for x
    x = 425,272.70/686.48
  6. Step 6: Final answer
    x = 619.50

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1.5x scale

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.