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Finding the Fourth Proportional to 1,362.23, 1,880.01 and 802.87

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Solution

The fourth proportional to 1,362.23, 1,880.01 and 802.87 is: 1,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.23 : 1,880.01 = 802.87 : x
  2. Step 2: Convert to fraction form
    1,362.23/1,880.01 = 802.87/x
  3. Step 3: Cross multiply
    1,362.23x = 1,880.01 × 802.87
  4. Step 4: Simplify right side
    1,362.23x = 1,509,403.63
  5. Step 5: Solve for x
    x = 1,509,403.63/1,362.23
  6. Step 6: Final answer
    x = 1,108.04

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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.