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Finding the Fourth Proportional to 601.71, 901.39 and 340.91

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Solution

The fourth proportional to 601.71, 901.39 and 340.91 is: 510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.71 : 901.39 = 340.91 : x
  2. Step 2: Convert to fraction form
    601.71/901.39 = 340.91/x
  3. Step 3: Cross multiply
    601.71x = 901.39 × 340.91
  4. Step 4: Simplify right side
    601.71x = 307,288.78
  5. Step 5: Solve for x
    x = 307,288.78/601.71
  6. Step 6: Final answer
    x = 510.70

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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.