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Finding the Fourth Proportional to 464.58, 695.10 and 310.86

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Solution

The fourth proportional to 464.58, 695.10 and 310.86 is: 465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.58 : 695.10 = 310.86 : x
  2. Step 2: Convert to fraction form
    464.58/695.10 = 310.86/x
  3. Step 3: Cross multiply
    464.58x = 695.10 × 310.86
  4. Step 4: Simplify right side
    464.58x = 216,078.79
  5. Step 5: Solve for x
    x = 216,078.79/464.58
  6. Step 6: Final answer
    x = 465.11

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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.