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Finding the Fourth Proportional to 818.65, 1,129.72 and 445.63

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Solution

The fourth proportional to 818.65, 1,129.72 and 445.63 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.65 : 1,129.72 = 445.63 : x
  2. Step 2: Convert to fraction form
    818.65/1,129.72 = 445.63/x
  3. Step 3: Cross multiply
    818.65x = 1,129.72 × 445.63
  4. Step 4: Simplify right side
    818.65x = 503,437.12
  5. Step 5: Solve for x
    x = 503,437.12/818.65
  6. Step 6: Final answer
    x = 614.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.