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Finding the Fourth Proportional to 1,071.20, 1,478.45 and 605.45

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Solution

The fourth proportional to 1,071.20, 1,478.45 and 605.45 is: 835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.20 : 1,478.45 = 605.45 : x
  2. Step 2: Convert to fraction form
    1,071.20/1,478.45 = 605.45/x
  3. Step 3: Cross multiply
    1,071.20x = 1,478.45 × 605.45
  4. Step 4: Simplify right side
    1,071.20x = 895,117.13
  5. Step 5: Solve for x
    x = 895,117.13/1,071.20
  6. Step 6: Final answer
    x = 835.62

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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.