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Finding the Fourth Proportional to 1,478.37, 2,039.60 and 848.45

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Solution

The fourth proportional to 1,478.37, 2,039.60 and 848.45 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.37 : 2,039.60 = 848.45 : x
  2. Step 2: Convert to fraction form
    1,478.37/2,039.60 = 848.45/x
  3. Step 3: Cross multiply
    1,478.37x = 2,039.60 × 848.45
  4. Step 4: Simplify right side
    1,478.37x = 1,730,484.18
  5. Step 5: Solve for x
    x = 1,730,484.18/1,478.37
  6. Step 6: Final answer
    x = 1,170.54

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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.