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Finding the Fourth Proportional to 1,071.50, 1,478.68 and 605.76

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Solution

The fourth proportional to 1,071.50, 1,478.68 and 605.76 is: 835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.50 : 1,478.68 = 605.76 : x
  2. Step 2: Convert to fraction form
    1,071.50/1,478.68 = 605.76/x
  3. Step 3: Cross multiply
    1,071.50x = 1,478.68 × 605.76
  4. Step 4: Simplify right side
    1,071.50x = 895,725.20
  5. Step 5: Solve for x
    x = 895,725.20/1,071.50
  6. Step 6: Final answer
    x = 835.95

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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.