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Finding the Fourth Proportional to 1,362.44, 1,880.60 and 802.87

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Solution

The fourth proportional to 1,362.44, 1,880.60 and 802.87 is: 1,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.44 : 1,880.60 = 802.87 : x
  2. Step 2: Convert to fraction form
    1,362.44/1,880.60 = 802.87/x
  3. Step 3: Cross multiply
    1,362.44x = 1,880.60 × 802.87
  4. Step 4: Simplify right side
    1,362.44x = 1,509,877.32
  5. Step 5: Solve for x
    x = 1,509,877.32/1,362.44
  6. Step 6: Final answer
    x = 1,108.22

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1.5x scale

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.