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Finding the Fourth Proportional to 706.17, 974.88 and 440.70

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Solution

The fourth proportional to 706.17, 974.88 and 440.70 is: 608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.17 : 974.88 = 440.70 : x
  2. Step 2: Convert to fraction form
    706.17/974.88 = 440.70/x
  3. Step 3: Cross multiply
    706.17x = 974.88 × 440.70
  4. Step 4: Simplify right side
    706.17x = 429,629.62
  5. Step 5: Solve for x
    x = 429,629.62/706.17
  6. Step 6: Final answer
    x = 608.39

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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.