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Finding the Fourth Proportional to 1,417.41, 2,127.07 and 492.97

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Solution

The fourth proportional to 1,417.41, 2,127.07 and 492.97 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.41 : 2,127.07 = 492.97 : x
  2. Step 2: Convert to fraction form
    1,417.41/2,127.07 = 492.97/x
  3. Step 3: Cross multiply
    1,417.41x = 2,127.07 × 492.97
  4. Step 4: Simplify right side
    1,417.41x = 1,048,586.51
  5. Step 5: Solve for x
    x = 1,048,586.51/1,417.41
  6. Step 6: Final answer
    x = 739.79

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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.