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Finding the Fourth Proportional to 686.43, 948.10 and 499.63

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Solution

The fourth proportional to 686.43, 948.10 and 499.63 is: 690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.43 : 948.10 = 499.63 : x
  2. Step 2: Convert to fraction form
    686.43/948.10 = 499.63/x
  3. Step 3: Cross multiply
    686.43x = 948.10 × 499.63
  4. Step 4: Simplify right side
    686.43x = 473,694.46
  5. Step 5: Solve for x
    x = 473,694.46/686.43
  6. Step 6: Final answer
    x = 690.08

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Double scale
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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.