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Finding the Fourth Proportional to 1,309.61, 1,806.04 and 890.58

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Solution

The fourth proportional to 1,309.61, 1,806.04 and 890.58 is: 1,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.61 : 1,806.04 = 890.58 : x
  2. Step 2: Convert to fraction form
    1,309.61/1,806.04 = 890.58/x
  3. Step 3: Cross multiply
    1,309.61x = 1,806.04 × 890.58
  4. Step 4: Simplify right side
    1,309.61x = 1,608,423.10
  5. Step 5: Solve for x
    x = 1,608,423.10/1,309.61
  6. Step 6: Final answer
    x = 1,228.17

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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.