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Finding the Fourth Proportional to 686.69, 947.66 and 417.51

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Solution

The fourth proportional to 686.69, 947.66 and 417.51 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.69 : 947.66 = 417.51 : x
  2. Step 2: Convert to fraction form
    686.69/947.66 = 417.51/x
  3. Step 3: Cross multiply
    686.69x = 947.66 × 417.51
  4. Step 4: Simplify right side
    686.69x = 395,655.44
  5. Step 5: Solve for x
    x = 395,655.44/686.69
  6. Step 6: Final answer
    x = 576.18

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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.