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Finding the Fourth Proportional to 469.38, 652.22 and 464.32

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Solution

The fourth proportional to 469.38, 652.22 and 464.32 is: 645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 652.22 = 464.32 : x
  2. Step 2: Convert to fraction form
    469.38/652.22 = 464.32/x
  3. Step 3: Cross multiply
    469.38x = 652.22 × 464.32
  4. Step 4: Simplify right side
    469.38x = 302,838.79
  5. Step 5: Solve for x
    x = 302,838.79/469.38
  6. Step 6: Final answer
    x = 645.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.