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Finding the Fourth Proportional to 1,390.42, 2,085.03 and 416.18

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Solution

The fourth proportional to 1,390.42, 2,085.03 and 416.18 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.42 : 2,085.03 = 416.18 : x
  2. Step 2: Convert to fraction form
    1,390.42/2,085.03 = 416.18/x
  3. Step 3: Cross multiply
    1,390.42x = 2,085.03 × 416.18
  4. Step 4: Simplify right side
    1,390.42x = 867,747.79
  5. Step 5: Solve for x
    x = 867,747.79/1,390.42
  6. Step 6: Final answer
    x = 624.09

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1.5x scale

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.