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Finding the Fourth Proportional to 575.80, 866.81 and 524.77

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Solution

The fourth proportional to 575.80, 866.81 and 524.77 is: 789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 866.81 = 524.77 : x
  2. Step 2: Convert to fraction form
    575.80/866.81 = 524.77/x
  3. Step 3: Cross multiply
    575.80x = 866.81 × 524.77
  4. Step 4: Simplify right side
    575.80x = 454,875.88
  5. Step 5: Solve for x
    x = 454,875.88/575.80
  6. Step 6: Final answer
    x = 789.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.