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Finding the Fourth Proportional to 575.20, 856.78 and 568.01

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Solution

The fourth proportional to 575.20, 856.78 and 568.01 is: 846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 856.78 = 568.01 : x
  2. Step 2: Convert to fraction form
    575.20/856.78 = 568.01/x
  3. Step 3: Cross multiply
    575.20x = 856.78 × 568.01
  4. Step 4: Simplify right side
    575.20x = 486,660.33
  5. Step 5: Solve for x
    x = 486,660.33/575.20
  6. Step 6: Final answer
    x = 846.07

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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.