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Finding the Fourth Proportional to 686.45, 947.14 and 417.27

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Solution

The fourth proportional to 686.45, 947.14 and 417.27 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.45 : 947.14 = 417.27 : x
  2. Step 2: Convert to fraction form
    686.45/947.14 = 417.27/x
  3. Step 3: Cross multiply
    686.45x = 947.14 × 417.27
  4. Step 4: Simplify right side
    686.45x = 395,210.29
  5. Step 5: Solve for x
    x = 395,210.29/686.45
  6. Step 6: Final answer
    x = 575.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.