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Finding the Fourth Proportional to 1,221.61, 1,685.36 and 802.19

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Solution

The fourth proportional to 1,221.61, 1,685.36 and 802.19 is: 1,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.61 : 1,685.36 = 802.19 : x
  2. Step 2: Convert to fraction form
    1,221.61/1,685.36 = 802.19/x
  3. Step 3: Cross multiply
    1,221.61x = 1,685.36 × 802.19
  4. Step 4: Simplify right side
    1,221.61x = 1,351,966.50
  5. Step 5: Solve for x
    x = 1,351,966.50/1,221.61
  6. Step 6: Final answer
    x = 1,106.71

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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.