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Finding the Fourth Proportional to 1,090.17, 1,503.65 and 984.57

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Solution

The fourth proportional to 1,090.17, 1,503.65 and 984.57 is: 1,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.17 : 1,503.65 = 984.57 : x
  2. Step 2: Convert to fraction form
    1,090.17/1,503.65 = 984.57/x
  3. Step 3: Cross multiply
    1,090.17x = 1,503.65 × 984.57
  4. Step 4: Simplify right side
    1,090.17x = 1,480,443.76
  5. Step 5: Solve for x
    x = 1,480,443.76/1,090.17
  6. Step 6: Final answer
    x = 1,357.99

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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.