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Finding the Fourth Proportional to 601.82, 901.47 and 384.29

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Solution

The fourth proportional to 601.82, 901.47 and 384.29 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 901.47 = 384.29 : x
  2. Step 2: Convert to fraction form
    601.82/901.47 = 384.29/x
  3. Step 3: Cross multiply
    601.82x = 901.47 × 384.29
  4. Step 4: Simplify right side
    601.82x = 346,425.91
  5. Step 5: Solve for x
    x = 346,425.91/601.82
  6. Step 6: Final answer
    x = 575.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.