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Finding the Fourth Proportional to 1,393.01, 2,089.71 and 419.18

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Solution

The fourth proportional to 1,393.01, 2,089.71 and 419.18 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.01 : 2,089.71 = 419.18 : x
  2. Step 2: Convert to fraction form
    1,393.01/2,089.71 = 419.18/x
  3. Step 3: Cross multiply
    1,393.01x = 2,089.71 × 419.18
  4. Step 4: Simplify right side
    1,393.01x = 875,969.86
  5. Step 5: Solve for x
    x = 875,969.86/1,393.01
  6. Step 6: Final answer
    x = 628.83

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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.