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Finding the Fourth Proportional to 816.46, 1,225 and 491.64

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Solution

The fourth proportional to 816.46, 1,225 and 491.64 is: 737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.46 : 1,225 = 491.64 : x
  2. Step 2: Convert to fraction form
    816.46/1,225 = 491.64/x
  3. Step 3: Cross multiply
    816.46x = 1,225 × 491.64
  4. Step 4: Simplify right side
    816.46x = 602,259
  5. Step 5: Solve for x
    x = 602,259/816.46
  6. Step 6: Final answer
    x = 737.65

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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.