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Finding the Fourth Proportional to 601.74, 830.28 and 346.18

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Solution

The fourth proportional to 601.74, 830.28 and 346.18 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 830.28 = 346.18 : x
  2. Step 2: Convert to fraction form
    601.74/830.28 = 346.18/x
  3. Step 3: Cross multiply
    601.74x = 830.28 × 346.18
  4. Step 4: Simplify right side
    601.74x = 287,426.33
  5. Step 5: Solve for x
    x = 287,426.33/601.74
  6. Step 6: Final answer
    x = 477.66

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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.