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Finding the Fourth Proportional to 601.30, 829.56 and 380.16

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Solution

The fourth proportional to 601.30, 829.56 and 380.16 is: 524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 829.56 = 380.16 : x
  2. Step 2: Convert to fraction form
    601.30/829.56 = 380.16/x
  3. Step 3: Cross multiply
    601.30x = 829.56 × 380.16
  4. Step 4: Simplify right side
    601.30x = 315,365.53
  5. Step 5: Solve for x
    x = 315,365.53/601.30
  6. Step 6: Final answer
    x = 524.47

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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.