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Finding the Fourth Proportional to 601.27, 829.38 and 380.14

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Solution

The fourth proportional to 601.27, 829.38 and 380.14 is: 524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.27 : 829.38 = 380.14 : x
  2. Step 2: Convert to fraction form
    601.27/829.38 = 380.14/x
  3. Step 3: Cross multiply
    601.27x = 829.38 × 380.14
  4. Step 4: Simplify right side
    601.27x = 315,280.51
  5. Step 5: Solve for x
    x = 315,280.51/601.27
  6. Step 6: Final answer
    x = 524.36

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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.