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Finding the Fourth Proportional to 686.57, 948.29 and 499.77

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Solution

The fourth proportional to 686.57, 948.29 and 499.77 is: 690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 948.29 = 499.77 : x
  2. Step 2: Convert to fraction form
    686.57/948.29 = 499.77/x
  3. Step 3: Cross multiply
    686.57x = 948.29 × 499.77
  4. Step 4: Simplify right side
    686.57x = 473,924.39
  5. Step 5: Solve for x
    x = 473,924.39/686.57
  6. Step 6: Final answer
    x = 690.28

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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.