Home / 1,648.23-2,470.73-916.30

Finding the Fourth Proportional to 1,648.23, 2,470.73 and 916.30

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Solution

The fourth proportional to 1,648.23, 2,470.73 and 916.30 is: 1,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.23 : 2,470.73 = 916.30 : x
  2. Step 2: Convert to fraction form
    1,648.23/2,470.73 = 916.30/x
  3. Step 3: Cross multiply
    1,648.23x = 2,470.73 × 916.30
  4. Step 4: Simplify right side
    1,648.23x = 2,263,919.14
  5. Step 5: Solve for x
    x = 2,263,919.14/1,648.23
  6. Step 6: Final answer
    x = 1,373.55

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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.