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Finding the Fourth Proportional to 601.33, 829.88 and 380.20

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Solution

The fourth proportional to 601.33, 829.88 and 380.20 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.33 : 829.88 = 380.20 : x
  2. Step 2: Convert to fraction form
    601.33/829.88 = 380.20/x
  3. Step 3: Cross multiply
    601.33x = 829.88 × 380.20
  4. Step 4: Simplify right side
    601.33x = 315,518.48
  5. Step 5: Solve for x
    x = 315,518.48/601.33
  6. Step 6: Final answer
    x = 524.70

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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.