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Finding the Fourth Proportional to 706.51, 974.85 and 407.70

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Solution

The fourth proportional to 706.51, 974.85 and 407.70 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.51 : 974.85 = 407.70 : x
  2. Step 2: Convert to fraction form
    706.51/974.85 = 407.70/x
  3. Step 3: Cross multiply
    706.51x = 974.85 × 407.70
  4. Step 4: Simplify right side
    706.51x = 397,446.35
  5. Step 5: Solve for x
    x = 397,446.35/706.51
  6. Step 6: Final answer
    x = 562.55

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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.