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Finding the Fourth Proportional to 686.96, 948.19 and 424.83

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Solution

The fourth proportional to 686.96, 948.19 and 424.83 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 948.19 = 424.83 : x
  2. Step 2: Convert to fraction form
    686.96/948.19 = 424.83/x
  3. Step 3: Cross multiply
    686.96x = 948.19 × 424.83
  4. Step 4: Simplify right side
    686.96x = 402,818.50
  5. Step 5: Solve for x
    x = 402,818.50/686.96
  6. Step 6: Final answer
    x = 586.38

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Half scale
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Double scale
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Similar ratio
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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.