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Finding the Fourth Proportional to 1,322.78, 1,981.53 and 802.49

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Solution

The fourth proportional to 1,322.78, 1,981.53 and 802.49 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.78 : 1,981.53 = 802.49 : x
  2. Step 2: Convert to fraction form
    1,322.78/1,981.53 = 802.49/x
  3. Step 3: Cross multiply
    1,322.78x = 1,981.53 × 802.49
  4. Step 4: Simplify right side
    1,322.78x = 1,590,148.10
  5. Step 5: Solve for x
    x = 1,590,148.10/1,322.78
  6. Step 6: Final answer
    x = 1,202.13

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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.