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Finding the Fourth Proportional to 818.07, 1,129.17 and 499.16

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Solution

The fourth proportional to 818.07, 1,129.17 and 499.16 is: 688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.07 : 1,129.17 = 499.16 : x
  2. Step 2: Convert to fraction form
    818.07/1,129.17 = 499.16/x
  3. Step 3: Cross multiply
    818.07x = 1,129.17 × 499.16
  4. Step 4: Simplify right side
    818.07x = 563,630.85
  5. Step 5: Solve for x
    x = 563,630.85/818.07
  6. Step 6: Final answer
    x = 688.98

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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.