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Finding the Fourth Proportional to 688.46, 949.52 and 467.06

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Solution

The fourth proportional to 688.46, 949.52 and 467.06 is: 644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.46 : 949.52 = 467.06 : x
  2. Step 2: Convert to fraction form
    688.46/949.52 = 467.06/x
  3. Step 3: Cross multiply
    688.46x = 949.52 × 467.06
  4. Step 4: Simplify right side
    688.46x = 443,482.81
  5. Step 5: Solve for x
    x = 443,482.81/688.46
  6. Step 6: Final answer
    x = 644.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.