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Finding the Fourth Proportional to 914.40, 1,265.15 and 798.30

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Solution

The fourth proportional to 914.40, 1,265.15 and 798.30 is: 1,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,265.15 = 798.30 : x
  2. Step 2: Convert to fraction form
    914.40/1,265.15 = 798.30/x
  3. Step 3: Cross multiply
    914.40x = 1,265.15 × 798.30
  4. Step 4: Simplify right side
    914.40x = 1,009,971.24
  5. Step 5: Solve for x
    x = 1,009,971.24/914.40
  6. Step 6: Final answer
    x = 1,104.52

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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.