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Finding the Fourth Proportional to 601.91, 902.54 and 293.40

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Solution

The fourth proportional to 601.91, 902.54 and 293.40 is: 439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.91 : 902.54 = 293.40 : x
  2. Step 2: Convert to fraction form
    601.91/902.54 = 293.40/x
  3. Step 3: Cross multiply
    601.91x = 902.54 × 293.40
  4. Step 4: Simplify right side
    601.91x = 264,803.43
  5. Step 5: Solve for x
    x = 264,803.43/601.91
  6. Step 6: Final answer
    x = 439.94

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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.