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Finding the Fourth Proportional to 802.83, 1,106.68 and 566.11

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Solution

The fourth proportional to 802.83, 1,106.68 and 566.11 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.83 : 1,106.68 = 566.11 : x
  2. Step 2: Convert to fraction form
    802.83/1,106.68 = 566.11/x
  3. Step 3: Cross multiply
    802.83x = 1,106.68 × 566.11
  4. Step 4: Simplify right side
    802.83x = 626,494.25
  5. Step 5: Solve for x
    x = 626,494.25/802.83
  6. Step 6: Final answer
    x = 780.36

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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.