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Finding the Fourth Proportional to 1,478.74, 2,040.68 and 815.58

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Solution

The fourth proportional to 1,478.74, 2,040.68 and 815.58 is: 1,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.74 : 2,040.68 = 815.58 : x
  2. Step 2: Convert to fraction form
    1,478.74/2,040.68 = 815.58/x
  3. Step 3: Cross multiply
    1,478.74x = 2,040.68 × 815.58
  4. Step 4: Simplify right side
    1,478.74x = 1,664,323.51
  5. Step 5: Solve for x
    x = 1,664,323.51/1,478.74
  6. Step 6: Final answer
    x = 1,125.50

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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.