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Finding the Fourth Proportional to 1,017.80, 1,529.42 and 890.84

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Solution

The fourth proportional to 1,017.80, 1,529.42 and 890.84 is: 1,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.80 : 1,529.42 = 890.84 : x
  2. Step 2: Convert to fraction form
    1,017.80/1,529.42 = 890.84/x
  3. Step 3: Cross multiply
    1,017.80x = 1,529.42 × 890.84
  4. Step 4: Simplify right side
    1,017.80x = 1,362,468.51
  5. Step 5: Solve for x
    x = 1,362,468.51/1,017.80
  6. Step 6: Final answer
    x = 1,338.64

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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.