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Finding the Fourth Proportional to 653.13, 976.08 and 531.54

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Solution

The fourth proportional to 653.13, 976.08 and 531.54 is: 794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 976.08 = 531.54 : x
  2. Step 2: Convert to fraction form
    653.13/976.08 = 531.54/x
  3. Step 3: Cross multiply
    653.13x = 976.08 × 531.54
  4. Step 4: Simplify right side
    653.13x = 518,825.56
  5. Step 5: Solve for x
    x = 518,825.56/653.13
  6. Step 6: Final answer
    x = 794.37

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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.