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Finding the Fourth Proportional to 1,070.85, 1,606.04 and 823.91

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Solution

The fourth proportional to 1,070.85, 1,606.04 and 823.91 is: 1,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.85 : 1,606.04 = 823.91 : x
  2. Step 2: Convert to fraction form
    1,070.85/1,606.04 = 823.91/x
  3. Step 3: Cross multiply
    1,070.85x = 1,606.04 × 823.91
  4. Step 4: Simplify right side
    1,070.85x = 1,323,223.36
  5. Step 5: Solve for x
    x = 1,323,223.36/1,070.85
  6. Step 6: Final answer
    x = 1,235.67

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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.