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Finding the Fourth Proportional to 475.51, 652.01 and 428.69

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Solution

The fourth proportional to 475.51, 652.01 and 428.69 is: 587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.51 : 652.01 = 428.69 : x
  2. Step 2: Convert to fraction form
    475.51/652.01 = 428.69/x
  3. Step 3: Cross multiply
    475.51x = 652.01 × 428.69
  4. Step 4: Simplify right side
    475.51x = 279,510.17
  5. Step 5: Solve for x
    x = 279,510.17/475.51
  6. Step 6: Final answer
    x = 587.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.