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Finding the Fourth Proportional to 818.24, 1,225.69 and 653.98

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Solution

The fourth proportional to 818.24, 1,225.69 and 653.98 is: 979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.24 : 1,225.69 = 653.98 : x
  2. Step 2: Convert to fraction form
    818.24/1,225.69 = 653.98/x
  3. Step 3: Cross multiply
    818.24x = 1,225.69 × 653.98
  4. Step 4: Simplify right side
    818.24x = 801,574.35
  5. Step 5: Solve for x
    x = 801,574.35/818.24
  6. Step 6: Final answer
    x = 979.64

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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.