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Finding the Fourth Proportional to 846.19, 1,266.09 and 499.71

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Solution

The fourth proportional to 846.19, 1,266.09 and 499.71 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 1,266.09 = 499.71 : x
  2. Step 2: Convert to fraction form
    846.19/1,266.09 = 499.71/x
  3. Step 3: Cross multiply
    846.19x = 1,266.09 × 499.71
  4. Step 4: Simplify right side
    846.19x = 632,677.83
  5. Step 5: Solve for x
    x = 632,677.83/846.19
  6. Step 6: Final answer
    x = 747.68

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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.