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Finding the Fourth Proportional to 579.95, 866.13 and 464.57

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Solution

The fourth proportional to 579.95, 866.13 and 464.57 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 866.13 = 464.57 : x
  2. Step 2: Convert to fraction form
    579.95/866.13 = 464.57/x
  3. Step 3: Cross multiply
    579.95x = 866.13 × 464.57
  4. Step 4: Simplify right side
    579.95x = 402,373.68
  5. Step 5: Solve for x
    x = 402,373.68/579.95
  6. Step 6: Final answer
    x = 693.81

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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.