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Finding the Fourth Proportional to 619.74, 856.02 and 515.25

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Solution

The fourth proportional to 619.74, 856.02 and 515.25 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.74 : 856.02 = 515.25 : x
  2. Step 2: Convert to fraction form
    619.74/856.02 = 515.25/x
  3. Step 3: Cross multiply
    619.74x = 856.02 × 515.25
  4. Step 4: Simplify right side
    619.74x = 441,064.31
  5. Step 5: Solve for x
    x = 441,064.31/619.74
  6. Step 6: Final answer
    x = 711.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.