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Finding the Fourth Proportional to 653.52, 898.03 and 522.30

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Solution

The fourth proportional to 653.52, 898.03 and 522.30 is: 717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 898.03 = 522.30 : x
  2. Step 2: Convert to fraction form
    653.52/898.03 = 522.30/x
  3. Step 3: Cross multiply
    653.52x = 898.03 × 522.30
  4. Step 4: Simplify right side
    653.52x = 469,041.07
  5. Step 5: Solve for x
    x = 469,041.07/653.52
  6. Step 6: Final answer
    x = 717.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.