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Finding the Fourth Proportional to 577.92, 860.28 and 569.28

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Solution

The fourth proportional to 577.92, 860.28 and 569.28 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 860.28 = 569.28 : x
  2. Step 2: Convert to fraction form
    577.92/860.28 = 569.28/x
  3. Step 3: Cross multiply
    577.92x = 860.28 × 569.28
  4. Step 4: Simplify right side
    577.92x = 489,740.20
  5. Step 5: Solve for x
    x = 489,740.20/577.92
  6. Step 6: Final answer
    x = 847.42

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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.