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Finding the Fourth Proportional to 464.49, 696.71 and 310.71

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Solution

The fourth proportional to 464.49, 696.71 and 310.71 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 696.71 = 310.71 : x
  2. Step 2: Convert to fraction form
    464.49/696.71 = 310.71/x
  3. Step 3: Cross multiply
    464.49x = 696.71 × 310.71
  4. Step 4: Simplify right side
    464.49x = 216,474.76
  5. Step 5: Solve for x
    x = 216,474.76/464.49
  6. Step 6: Final answer
    x = 466.05

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1.5x scale

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.