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Finding the Fourth Proportional to 818.16, 1,225.29 and 524.73

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Solution

The fourth proportional to 818.16, 1,225.29 and 524.73 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.16 : 1,225.29 = 524.73 : x
  2. Step 2: Convert to fraction form
    818.16/1,225.29 = 524.73/x
  3. Step 3: Cross multiply
    818.16x = 1,225.29 × 524.73
  4. Step 4: Simplify right side
    818.16x = 642,946.42
  5. Step 5: Solve for x
    x = 642,946.42/818.16
  6. Step 6: Final answer
    x = 785.84

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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.