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Finding the Fourth Proportional to 437.51, 601.87 and 384.11

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Solution

The fourth proportional to 437.51, 601.87 and 384.11 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.51 : 601.87 = 384.11 : x
  2. Step 2: Convert to fraction form
    437.51/601.87 = 384.11/x
  3. Step 3: Cross multiply
    437.51x = 601.87 × 384.11
  4. Step 4: Simplify right side
    437.51x = 231,184.29
  5. Step 5: Solve for x
    x = 231,184.29/437.51
  6. Step 6: Final answer
    x = 528.41

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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.