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Finding the Fourth Proportional to 653.11, 976.13 and 601.22

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Solution

The fourth proportional to 653.11, 976.13 and 601.22 is: 898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.11 : 976.13 = 601.22 : x
  2. Step 2: Convert to fraction form
    653.11/976.13 = 601.22/x
  3. Step 3: Cross multiply
    653.11x = 976.13 × 601.22
  4. Step 4: Simplify right side
    653.11x = 586,868.88
  5. Step 5: Solve for x
    x = 586,868.88/653.11
  6. Step 6: Final answer
    x = 898.58

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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.