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Finding the Fourth Proportional to 569.34, 856.44 and 564.48

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Solution

The fourth proportional to 569.34, 856.44 and 564.48 is: 849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 856.44 = 564.48 : x
  2. Step 2: Convert to fraction form
    569.34/856.44 = 564.48/x
  3. Step 3: Cross multiply
    569.34x = 856.44 × 564.48
  4. Step 4: Simplify right side
    569.34x = 483,443.25
  5. Step 5: Solve for x
    x = 483,443.25/569.34
  6. Step 6: Final answer
    x = 849.13

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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.