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Finding the Fourth Proportional to 733.91, 1,013.18 and 499.10

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Solution

The fourth proportional to 733.91, 1,013.18 and 499.10 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.91 : 1,013.18 = 499.10 : x
  2. Step 2: Convert to fraction form
    733.91/1,013.18 = 499.10/x
  3. Step 3: Cross multiply
    733.91x = 1,013.18 × 499.10
  4. Step 4: Simplify right side
    733.91x = 505,678.14
  5. Step 5: Solve for x
    x = 505,678.14/733.91
  6. Step 6: Final answer
    x = 689.02

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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.