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Finding the Fourth Proportional to 601.40, 898.07 and 520.44

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Solution

The fourth proportional to 601.40, 898.07 and 520.44 is: 777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 898.07 = 520.44 : x
  2. Step 2: Convert to fraction form
    601.40/898.07 = 520.44/x
  3. Step 3: Cross multiply
    601.40x = 898.07 × 520.44
  4. Step 4: Simplify right side
    601.40x = 467,391.55
  5. Step 5: Solve for x
    x = 467,391.55/601.40
  6. Step 6: Final answer
    x = 777.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.