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Finding the Fourth Proportional to 706.39, 974.64 and 440.86

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Solution

The fourth proportional to 706.39, 974.64 and 440.86 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.39 : 974.64 = 440.86 : x
  2. Step 2: Convert to fraction form
    706.39/974.64 = 440.86/x
  3. Step 3: Cross multiply
    706.39x = 974.64 × 440.86
  4. Step 4: Simplify right side
    706.39x = 429,679.79
  5. Step 5: Solve for x
    x = 429,679.79/706.39
  6. Step 6: Final answer
    x = 608.28

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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.