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Finding the Fourth Proportional to 818.51, 1,225.41 and 471.21

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Solution

The fourth proportional to 818.51, 1,225.41 and 471.21 is: 705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.51 : 1,225.41 = 471.21 : x
  2. Step 2: Convert to fraction form
    818.51/1,225.41 = 471.21/x
  3. Step 3: Cross multiply
    818.51x = 1,225.41 × 471.21
  4. Step 4: Simplify right side
    818.51x = 577,425.45
  5. Step 5: Solve for x
    x = 577,425.45/818.51
  6. Step 6: Final answer
    x = 705.46

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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.