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Finding the Fourth Proportional to 472.12, 651.42 and 373.72

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Solution

The fourth proportional to 472.12, 651.42 and 373.72 is: 515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 651.42 = 373.72 : x
  2. Step 2: Convert to fraction form
    472.12/651.42 = 373.72/x
  3. Step 3: Cross multiply
    472.12x = 651.42 × 373.72
  4. Step 4: Simplify right side
    472.12x = 243,448.68
  5. Step 5: Solve for x
    x = 243,448.68/472.12
  6. Step 6: Final answer
    x = 515.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.