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Finding the Fourth Proportional to 653.72, 976.28 and 523.91

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Solution

The fourth proportional to 653.72, 976.28 and 523.91 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 976.28 = 523.91 : x
  2. Step 2: Convert to fraction form
    653.72/976.28 = 523.91/x
  3. Step 3: Cross multiply
    653.72x = 976.28 × 523.91
  4. Step 4: Simplify right side
    653.72x = 511,482.68
  5. Step 5: Solve for x
    x = 511,482.68/653.72
  6. Step 6: Final answer
    x = 782.42

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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.