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Finding the Fourth Proportional to 653.37, 978.53 and 515.46

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Solution

The fourth proportional to 653.37, 978.53 and 515.46 is: 771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 978.53 = 515.46 : x
  2. Step 2: Convert to fraction form
    653.37/978.53 = 515.46/x
  3. Step 3: Cross multiply
    653.37x = 978.53 × 515.46
  4. Step 4: Simplify right side
    653.37x = 504,393.07
  5. Step 5: Solve for x
    x = 504,393.07/653.37
  6. Step 6: Final answer
    x = 771.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.