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Finding the Fourth Proportional to 686.69, 947.33 and 477.36

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Solution

The fourth proportional to 686.69, 947.33 and 477.36 is: 658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.69 : 947.33 = 477.36 : x
  2. Step 2: Convert to fraction form
    686.69/947.33 = 477.36/x
  3. Step 3: Cross multiply
    686.69x = 947.33 × 477.36
  4. Step 4: Simplify right side
    686.69x = 452,215.06
  5. Step 5: Solve for x
    x = 452,215.06/686.69
  6. Step 6: Final answer
    x = 658.55

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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.