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Finding the Fourth Proportional to 569.67, 848.91 and 553.84

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Solution

The fourth proportional to 569.67, 848.91 and 553.84 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 848.91 = 553.84 : x
  2. Step 2: Convert to fraction form
    569.67/848.91 = 553.84/x
  3. Step 3: Cross multiply
    569.67x = 848.91 × 553.84
  4. Step 4: Simplify right side
    569.67x = 470,160.27
  5. Step 5: Solve for x
    x = 470,160.27/569.67
  6. Step 6: Final answer
    x = 825.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.