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Finding the Fourth Proportional to 706.70, 974.76 and 497.32

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Solution

The fourth proportional to 706.70, 974.76 and 497.32 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.70 : 974.76 = 497.32 : x
  2. Step 2: Convert to fraction form
    706.70/974.76 = 497.32/x
  3. Step 3: Cross multiply
    706.70x = 974.76 × 497.32
  4. Step 4: Simplify right side
    706.70x = 484,767.64
  5. Step 5: Solve for x
    x = 484,767.64/706.70
  6. Step 6: Final answer
    x = 685.96

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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.