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Finding the Fourth Proportional to 1,503.31, 2,074.58 and 840.19

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Solution

The fourth proportional to 1,503.31, 2,074.58 and 840.19 is: 1,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.31 : 2,074.58 = 840.19 : x
  2. Step 2: Convert to fraction form
    1,503.31/2,074.58 = 840.19/x
  3. Step 3: Cross multiply
    1,503.31x = 2,074.58 × 840.19
  4. Step 4: Simplify right side
    1,503.31x = 1,743,041.37
  5. Step 5: Solve for x
    x = 1,743,041.37/1,503.31
  6. Step 6: Final answer
    x = 1,159.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.