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Finding the Fourth Proportional to 686.56, 948.27 and 465.13

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Solution

The fourth proportional to 686.56, 948.27 and 465.13 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 948.27 = 465.13 : x
  2. Step 2: Convert to fraction form
    686.56/948.27 = 465.13/x
  3. Step 3: Cross multiply
    686.56x = 948.27 × 465.13
  4. Step 4: Simplify right side
    686.56x = 441,068.83
  5. Step 5: Solve for x
    x = 441,068.83/686.56
  6. Step 6: Final answer
    x = 642.43

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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.