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Finding the Fourth Proportional to 601.39, 829.76 and 380.23

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Solution

The fourth proportional to 601.39, 829.76 and 380.23 is: 524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 829.76 = 380.23 : x
  2. Step 2: Convert to fraction form
    601.39/829.76 = 380.23/x
  3. Step 3: Cross multiply
    601.39x = 829.76 × 380.23
  4. Step 4: Simplify right side
    601.39x = 315,497.74
  5. Step 5: Solve for x
    x = 315,497.74/601.39
  6. Step 6: Final answer
    x = 524.61

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.