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Finding the Fourth Proportional to 1,392.53, 1,922.35 and 802.97

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Solution

The fourth proportional to 1,392.53, 1,922.35 and 802.97 is: 1,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.53 : 1,922.35 = 802.97 : x
  2. Step 2: Convert to fraction form
    1,392.53/1,922.35 = 802.97/x
  3. Step 3: Cross multiply
    1,392.53x = 1,922.35 × 802.97
  4. Step 4: Simplify right side
    1,392.53x = 1,543,579.77
  5. Step 5: Solve for x
    x = 1,543,579.77/1,392.53
  6. Step 6: Final answer
    x = 1,108.47

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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.