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Finding the Fourth Proportional to 1,354.18, 1,866.36 and 910.84

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Solution

The fourth proportional to 1,354.18, 1,866.36 and 910.84 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.18 : 1,866.36 = 910.84 : x
  2. Step 2: Convert to fraction form
    1,354.18/1,866.36 = 910.84/x
  3. Step 3: Cross multiply
    1,354.18x = 1,866.36 × 910.84
  4. Step 4: Simplify right side
    1,354.18x = 1,699,955.34
  5. Step 5: Solve for x
    x = 1,699,955.34/1,354.18
  6. Step 6: Final answer
    x = 1,255.34

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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.