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Finding the Fourth Proportional to 1,306.60, 1,804 and 1,059.01

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Solution

The fourth proportional to 1,306.60, 1,804 and 1,059.01 is: 1,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.60 : 1,804 = 1,059.01 : x
  2. Step 2: Convert to fraction form
    1,306.60/1,804 = 1,059.01/x
  3. Step 3: Cross multiply
    1,306.60x = 1,804 × 1,059.01
  4. Step 4: Simplify right side
    1,306.60x = 1,910,454.04
  5. Step 5: Solve for x
    x = 1,910,454.04/1,306.60
  6. Step 6: Final answer
    x = 1,462.16

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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.