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Finding the Fourth Proportional to 619.56, 928.34 and 569.24

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Solution

The fourth proportional to 619.56, 928.34 and 569.24 is: 852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 928.34 = 569.24 : x
  2. Step 2: Convert to fraction form
    619.56/928.34 = 569.24/x
  3. Step 3: Cross multiply
    619.56x = 928.34 × 569.24
  4. Step 4: Simplify right side
    619.56x = 528,448.26
  5. Step 5: Solve for x
    x = 528,448.26/619.56
  6. Step 6: Final answer
    x = 852.94

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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.