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Finding the Fourth Proportional to 818.90, 1,225.66 and 448.13

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Solution

The fourth proportional to 818.90, 1,225.66 and 448.13 is: 670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.90 : 1,225.66 = 448.13 : x
  2. Step 2: Convert to fraction form
    818.90/1,225.66 = 448.13/x
  3. Step 3: Cross multiply
    818.90x = 1,225.66 × 448.13
  4. Step 4: Simplify right side
    818.90x = 549,256.96
  5. Step 5: Solve for x
    x = 549,256.96/818.90
  6. Step 6: Final answer
    x = 670.73

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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.