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Finding the Fourth Proportional to 1,370.93, 2,056.18 and 493.30

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Solution

The fourth proportional to 1,370.93, 2,056.18 and 493.30 is: 739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.93 : 2,056.18 = 493.30 : x
  2. Step 2: Convert to fraction form
    1,370.93/2,056.18 = 493.30/x
  3. Step 3: Cross multiply
    1,370.93x = 2,056.18 × 493.30
  4. Step 4: Simplify right side
    1,370.93x = 1,014,313.59
  5. Step 5: Solve for x
    x = 1,014,313.59/1,370.93
  6. Step 6: Final answer
    x = 739.87

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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.