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Finding the Fourth Proportional to 802.85, 1,106.55 and 662.12

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Solution

The fourth proportional to 802.85, 1,106.55 and 662.12 is: 912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.85 : 1,106.55 = 662.12 : x
  2. Step 2: Convert to fraction form
    802.85/1,106.55 = 662.12/x
  3. Step 3: Cross multiply
    802.85x = 1,106.55 × 662.12
  4. Step 4: Simplify right side
    802.85x = 732,668.89
  5. Step 5: Solve for x
    x = 732,668.89/802.85
  6. Step 6: Final answer
    x = 912.59

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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.