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Finding the Fourth Proportional to 472.94, 706.53 and 376.86

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Solution

The fourth proportional to 472.94, 706.53 and 376.86 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 706.53 = 376.86 : x
  2. Step 2: Convert to fraction form
    472.94/706.53 = 376.86/x
  3. Step 3: Cross multiply
    472.94x = 706.53 × 376.86
  4. Step 4: Simplify right side
    472.94x = 266,261.01
  5. Step 5: Solve for x
    x = 266,261.01/472.94
  6. Step 6: Final answer
    x = 562.99

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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.