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Finding the Fourth Proportional to 1,790.47, 2,470.74 and 993.77

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Solution

The fourth proportional to 1,790.47, 2,470.74 and 993.77 is: 1,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.47 : 2,470.74 = 993.77 : x
  2. Step 2: Convert to fraction form
    1,790.47/2,470.74 = 993.77/x
  3. Step 3: Cross multiply
    1,790.47x = 2,470.74 × 993.77
  4. Step 4: Simplify right side
    1,790.47x = 2,455,347.29
  5. Step 5: Solve for x
    x = 2,455,347.29/1,790.47
  6. Step 6: Final answer
    x = 1,371.34

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1.5x scale

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.