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Finding the Fourth Proportional to 835.40, 1,153.36 and 556.04

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Solution

The fourth proportional to 835.40, 1,153.36 and 556.04 is: 767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.40 : 1,153.36 = 556.04 : x
  2. Step 2: Convert to fraction form
    835.40/1,153.36 = 556.04/x
  3. Step 3: Cross multiply
    835.40x = 1,153.36 × 556.04
  4. Step 4: Simplify right side
    835.40x = 641,314.29
  5. Step 5: Solve for x
    x = 641,314.29/835.40
  6. Step 6: Final answer
    x = 767.67

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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.