Home / 1,470.89-2,030.26-841.78

Finding the Fourth Proportional to 1,470.89, 2,030.26 and 841.78

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Solution

The fourth proportional to 1,470.89, 2,030.26 and 841.78 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.89 : 2,030.26 = 841.78 : x
  2. Step 2: Convert to fraction form
    1,470.89/2,030.26 = 841.78/x
  3. Step 3: Cross multiply
    1,470.89x = 2,030.26 × 841.78
  4. Step 4: Simplify right side
    1,470.89x = 1,709,022.11
  5. Step 5: Solve for x
    x = 1,709,022.11/1,470.89
  6. Step 6: Final answer
    x = 1,161.90

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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.