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Finding the Fourth Proportional to 817.81, 1,129.08 and 607.74

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Solution

The fourth proportional to 817.81, 1,129.08 and 607.74 is: 839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.81 : 1,129.08 = 607.74 : x
  2. Step 2: Convert to fraction form
    817.81/1,129.08 = 607.74/x
  3. Step 3: Cross multiply
    817.81x = 1,129.08 × 607.74
  4. Step 4: Simplify right side
    817.81x = 686,187.08
  5. Step 5: Solve for x
    x = 686,187.08/817.81
  6. Step 6: Final answer
    x = 839.05

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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.