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Finding the Fourth Proportional to 1,390.36, 2,085.71 and 466.58

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Solution

The fourth proportional to 1,390.36, 2,085.71 and 466.58 is: 699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.36 : 2,085.71 = 466.58 : x
  2. Step 2: Convert to fraction form
    1,390.36/2,085.71 = 466.58/x
  3. Step 3: Cross multiply
    1,390.36x = 2,085.71 × 466.58
  4. Step 4: Simplify right side
    1,390.36x = 973,150.57
  5. Step 5: Solve for x
    x = 973,150.57/1,390.36
  6. Step 6: Final answer
    x = 699.93

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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.