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Finding the Fourth Proportional to 1,790.47, 2,470.87 and 1,004.50

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Solution

The fourth proportional to 1,790.47, 2,470.87 and 1,004.50 is: 1,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.47 : 2,470.87 = 1,004.50 : x
  2. Step 2: Convert to fraction form
    1,790.47/2,470.87 = 1,004.50/x
  3. Step 3: Cross multiply
    1,790.47x = 2,470.87 × 1,004.50
  4. Step 4: Simplify right side
    1,790.47x = 2,481,988.92
  5. Step 5: Solve for x
    x = 2,481,988.92/1,790.47
  6. Step 6: Final answer
    x = 1,386.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.