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Finding the Fourth Proportional to 1,448.23, 1,998.54 and 785.08

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Solution

The fourth proportional to 1,448.23, 1,998.54 and 785.08 is: 1,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.23 : 1,998.54 = 785.08 : x
  2. Step 2: Convert to fraction form
    1,448.23/1,998.54 = 785.08/x
  3. Step 3: Cross multiply
    1,448.23x = 1,998.54 × 785.08
  4. Step 4: Simplify right side
    1,448.23x = 1,569,013.78
  5. Step 5: Solve for x
    x = 1,569,013.78/1,448.23
  6. Step 6: Final answer
    x = 1,083.40

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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.