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Finding the Fourth Proportional to 601.49, 830.19 and 380.30

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Solution

The fourth proportional to 601.49, 830.19 and 380.30 is: 524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 830.19 = 380.30 : x
  2. Step 2: Convert to fraction form
    601.49/830.19 = 380.30/x
  3. Step 3: Cross multiply
    601.49x = 830.19 × 380.30
  4. Step 4: Simplify right side
    601.49x = 315,721.26
  5. Step 5: Solve for x
    x = 315,721.26/601.49
  6. Step 6: Final answer
    x = 524.90

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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.