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Finding the Fourth Proportional to 1,503.75, 2,074.66 and 840.45

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Solution

The fourth proportional to 1,503.75, 2,074.66 and 840.45 is: 1,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.75 : 2,074.66 = 840.45 : x
  2. Step 2: Convert to fraction form
    1,503.75/2,074.66 = 840.45/x
  3. Step 3: Cross multiply
    1,503.75x = 2,074.66 × 840.45
  4. Step 4: Simplify right side
    1,503.75x = 1,743,645.90
  5. Step 5: Solve for x
    x = 1,743,645.90/1,503.75
  6. Step 6: Final answer
    x = 1,159.53

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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.