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Finding the Fourth Proportional to 898.28, 1,346.77 and 605.06

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Solution

The fourth proportional to 898.28, 1,346.77 and 605.06 is: 907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,346.77 = 605.06 : x
  2. Step 2: Convert to fraction form
    898.28/1,346.77 = 605.06/x
  3. Step 3: Cross multiply
    898.28x = 1,346.77 × 605.06
  4. Step 4: Simplify right side
    898.28x = 814,876.66
  5. Step 5: Solve for x
    x = 814,876.66/898.28
  6. Step 6: Final answer
    x = 907.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.