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Finding the Fourth Proportional to 575.68, 857.99 and 574.77

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Solution

The fourth proportional to 575.68, 857.99 and 574.77 is: 856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.68 : 857.99 = 574.77 : x
  2. Step 2: Convert to fraction form
    575.68/857.99 = 574.77/x
  3. Step 3: Cross multiply
    575.68x = 857.99 × 574.77
  4. Step 4: Simplify right side
    575.68x = 493,146.91
  5. Step 5: Solve for x
    x = 493,146.91/575.68
  6. Step 6: Final answer
    x = 856.63

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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.