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Finding the Fourth Proportional to 1,485.04, 2,048.82 and 954.04

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Solution

The fourth proportional to 1,485.04, 2,048.82 and 954.04 is: 1,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.04 : 2,048.82 = 954.04 : x
  2. Step 2: Convert to fraction form
    1,485.04/2,048.82 = 954.04/x
  3. Step 3: Cross multiply
    1,485.04x = 2,048.82 × 954.04
  4. Step 4: Simplify right side
    1,485.04x = 1,954,656.23
  5. Step 5: Solve for x
    x = 1,954,656.23/1,485.04
  6. Step 6: Final answer
    x = 1,316.23

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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.