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Finding the Fourth Proportional to 684.65, 944.39 and 497.85

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Solution

The fourth proportional to 684.65, 944.39 and 497.85 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 944.39 = 497.85 : x
  2. Step 2: Convert to fraction form
    684.65/944.39 = 497.85/x
  3. Step 3: Cross multiply
    684.65x = 944.39 × 497.85
  4. Step 4: Simplify right side
    684.65x = 470,162.26
  5. Step 5: Solve for x
    x = 470,162.26/684.65
  6. Step 6: Final answer
    x = 686.72

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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.