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Finding the Fourth Proportional to 472.03, 651.07 and 325.02

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Solution

The fourth proportional to 472.03, 651.07 and 325.02 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.03 : 651.07 = 325.02 : x
  2. Step 2: Convert to fraction form
    472.03/651.07 = 325.02/x
  3. Step 3: Cross multiply
    472.03x = 651.07 × 325.02
  4. Step 4: Simplify right side
    472.03x = 211,610.77
  5. Step 5: Solve for x
    x = 211,610.77/472.03
  6. Step 6: Final answer
    x = 448.30

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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.