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Finding the Fourth Proportional to 1,089.47, 1,504.01 and 840.23

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Solution

The fourth proportional to 1,089.47, 1,504.01 and 840.23 is: 1,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.47 : 1,504.01 = 840.23 : x
  2. Step 2: Convert to fraction form
    1,089.47/1,504.01 = 840.23/x
  3. Step 3: Cross multiply
    1,089.47x = 1,504.01 × 840.23
  4. Step 4: Simplify right side
    1,089.47x = 1,263,720.18
  5. Step 5: Solve for x
    x = 1,263,720.18/1,089.47
  6. Step 6: Final answer
    x = 1,159.95

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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.