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Finding the Fourth Proportional to 1,200.60, 1,656.27 and 802.17

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Solution

The fourth proportional to 1,200.60, 1,656.27 and 802.17 is: 1,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.60 : 1,656.27 = 802.17 : x
  2. Step 2: Convert to fraction form
    1,200.60/1,656.27 = 802.17/x
  3. Step 3: Cross multiply
    1,200.60x = 1,656.27 × 802.17
  4. Step 4: Simplify right side
    1,200.60x = 1,328,610.11
  5. Step 5: Solve for x
    x = 1,328,610.11/1,200.60
  6. Step 6: Final answer
    x = 1,106.62

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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.