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Finding the Fourth Proportional to 464.28, 695.50 and 348.86

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Solution

The fourth proportional to 464.28, 695.50 and 348.86 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.28 : 695.50 = 348.86 : x
  2. Step 2: Convert to fraction form
    464.28/695.50 = 348.86/x
  3. Step 3: Cross multiply
    464.28x = 695.50 × 348.86
  4. Step 4: Simplify right side
    464.28x = 242,631.05
  5. Step 5: Solve for x
    x = 242,631.05/464.28
  6. Step 6: Final answer
    x = 522.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.