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Finding the Fourth Proportional to 1,071.38, 1,478.94 and 776.58

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Solution

The fourth proportional to 1,071.38, 1,478.94 and 776.58 is: 1,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.38 : 1,478.94 = 776.58 : x
  2. Step 2: Convert to fraction form
    1,071.38/1,478.94 = 776.58/x
  3. Step 3: Cross multiply
    1,071.38x = 1,478.94 × 776.58
  4. Step 4: Simplify right side
    1,071.38x = 1,148,515.23
  5. Step 5: Solve for x
    x = 1,148,515.23/1,071.38
  6. Step 6: Final answer
    x = 1,072.00

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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.