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Finding the Fourth Proportional to 653.37, 978.53 and 515.47

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Solution

The fourth proportional to 653.37, 978.53 and 515.47 is: 772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 978.53 = 515.47 : x
  2. Step 2: Convert to fraction form
    653.37/978.53 = 515.47/x
  3. Step 3: Cross multiply
    653.37x = 978.53 × 515.47
  4. Step 4: Simplify right side
    653.37x = 504,397.97
  5. Step 5: Solve for x
    x = 504,397.97/653.37
  6. Step 6: Final answer
    x = 772.00

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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.