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Finding the Fourth Proportional to 1,478.02, 2,039.70 and 848.65

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Solution

The fourth proportional to 1,478.02, 2,039.70 and 848.65 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.02 : 2,039.70 = 848.65 : x
  2. Step 2: Convert to fraction form
    1,478.02/2,039.70 = 848.65/x
  3. Step 3: Cross multiply
    1,478.02x = 2,039.70 × 848.65
  4. Step 4: Simplify right side
    1,478.02x = 1,730,991.41
  5. Step 5: Solve for x
    x = 1,730,991.41/1,478.02
  6. Step 6: Final answer
    x = 1,171.16

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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.