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Finding the Fourth Proportional to 1,283.42, 1,769.50 and 840.62

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Solution

The fourth proportional to 1,283.42, 1,769.50 and 840.62 is: 1,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.42 : 1,769.50 = 840.62 : x
  2. Step 2: Convert to fraction form
    1,283.42/1,769.50 = 840.62/x
  3. Step 3: Cross multiply
    1,283.42x = 1,769.50 × 840.62
  4. Step 4: Simplify right side
    1,283.42x = 1,487,477.09
  5. Step 5: Solve for x
    x = 1,487,477.09/1,283.42
  6. Step 6: Final answer
    x = 1,158.99

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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.