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Finding the Fourth Proportional to 1,084.48, 1,496.70 and 790.03

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Solution

The fourth proportional to 1,084.48, 1,496.70 and 790.03 is: 1,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.48 : 1,496.70 = 790.03 : x
  2. Step 2: Convert to fraction form
    1,084.48/1,496.70 = 790.03/x
  3. Step 3: Cross multiply
    1,084.48x = 1,496.70 × 790.03
  4. Step 4: Simplify right side
    1,084.48x = 1,182,437.90
  5. Step 5: Solve for x
    x = 1,182,437.90/1,084.48
  6. Step 6: Final answer
    x = 1,090.33

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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.