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Finding the Fourth Proportional to 1,322.64, 1,983.60 and 802.80

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Solution

The fourth proportional to 1,322.64, 1,983.60 and 802.80 is: 1,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.64 : 1,983.60 = 802.80 : x
  2. Step 2: Convert to fraction form
    1,322.64/1,983.60 = 802.80/x
  3. Step 3: Cross multiply
    1,322.64x = 1,983.60 × 802.80
  4. Step 4: Simplify right side
    1,322.64x = 1,592,434.08
  5. Step 5: Solve for x
    x = 1,592,434.08/1,322.64
  6. Step 6: Final answer
    x = 1,203.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.