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Finding the Fourth Proportional to 463.05, 694.76 and 456.10

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Solution

The fourth proportional to 463.05, 694.76 and 456.10 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 694.76 = 456.10 : x
  2. Step 2: Convert to fraction form
    463.05/694.76 = 456.10/x
  3. Step 3: Cross multiply
    463.05x = 694.76 × 456.10
  4. Step 4: Simplify right side
    463.05x = 316,876.02
  5. Step 5: Solve for x
    x = 316,876.02/463.05
  6. Step 6: Final answer
    x = 684.32

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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.