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Finding the Fourth Proportional to 601.07, 901.61 and 384.20

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Solution

The fourth proportional to 601.07, 901.61 and 384.20 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 901.61 = 384.20 : x
  2. Step 2: Convert to fraction form
    601.07/901.61 = 384.20/x
  3. Step 3: Cross multiply
    601.07x = 901.61 × 384.20
  4. Step 4: Simplify right side
    601.07x = 346,392.13
  5. Step 5: Solve for x
    x = 346,392.13/601.07
  6. Step 6: Final answer
    x = 576.30

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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.