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Finding the Fourth Proportional to 601.12, 829.54 and 380.25

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Solution

The fourth proportional to 601.12, 829.54 and 380.25 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 829.54 = 380.25 : x
  2. Step 2: Convert to fraction form
    601.12/829.54 = 380.25/x
  3. Step 3: Cross multiply
    601.12x = 829.54 × 380.25
  4. Step 4: Simplify right side
    601.12x = 315,435.39
  5. Step 5: Solve for x
    x = 315,435.39/601.12
  6. Step 6: Final answer
    x = 524.75

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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.