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Finding the Fourth Proportional to 574.93, 856.90 and 464.77

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Solution

The fourth proportional to 574.93, 856.90 and 464.77 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.93 : 856.90 = 464.77 : x
  2. Step 2: Convert to fraction form
    574.93/856.90 = 464.77/x
  3. Step 3: Cross multiply
    574.93x = 856.90 × 464.77
  4. Step 4: Simplify right side
    574.93x = 398,261.41
  5. Step 5: Solve for x
    x = 398,261.41/574.93
  6. Step 6: Final answer
    x = 692.71

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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.