Home / 1,390.35-2,085.90-416.46

Finding the Fourth Proportional to 1,390.35, 2,085.90 and 416.46

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Solution

The fourth proportional to 1,390.35, 2,085.90 and 416.46 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.35 : 2,085.90 = 416.46 : x
  2. Step 2: Convert to fraction form
    1,390.35/2,085.90 = 416.46/x
  3. Step 3: Cross multiply
    1,390.35x = 2,085.90 × 416.46
  4. Step 4: Simplify right side
    1,390.35x = 868,691.83
  5. Step 5: Solve for x
    x = 868,691.83/1,390.35
  6. Step 6: Final answer
    x = 624.80

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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.