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Finding the Fourth Proportional to 468.98, 706.24 and 377.86

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Solution

The fourth proportional to 468.98, 706.24 and 377.86 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 706.24 = 377.86 : x
  2. Step 2: Convert to fraction form
    468.98/706.24 = 377.86/x
  3. Step 3: Cross multiply
    468.98x = 706.24 × 377.86
  4. Step 4: Simplify right side
    468.98x = 266,859.85
  5. Step 5: Solve for x
    x = 266,859.85/468.98
  6. Step 6: Final answer
    x = 569.02

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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.