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Finding the Fourth Proportional to 1,390.38, 2,085.71 and 465.60

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Solution

The fourth proportional to 1,390.38, 2,085.71 and 465.60 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.38 : 2,085.71 = 465.60 : x
  2. Step 2: Convert to fraction form
    1,390.38/2,085.71 = 465.60/x
  3. Step 3: Cross multiply
    1,390.38x = 2,085.71 × 465.60
  4. Step 4: Simplify right side
    1,390.38x = 971,106.58
  5. Step 5: Solve for x
    x = 971,106.58/1,390.38
  6. Step 6: Final answer
    x = 698.45

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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.