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Finding the Fourth Proportional to 601.93, 830.79 and 381.18

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Solution

The fourth proportional to 601.93, 830.79 and 381.18 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.93 : 830.79 = 381.18 : x
  2. Step 2: Convert to fraction form
    601.93/830.79 = 381.18/x
  3. Step 3: Cross multiply
    601.93x = 830.79 × 381.18
  4. Step 4: Simplify right side
    601.93x = 316,680.53
  5. Step 5: Solve for x
    x = 316,680.53/601.93
  6. Step 6: Final answer
    x = 526.11

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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.