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Finding the Fourth Proportional to 1,071.45, 1,477.80 and 678.11

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Solution

The fourth proportional to 1,071.45, 1,477.80 and 678.11 is: 935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.45 : 1,477.80 = 678.11 : x
  2. Step 2: Convert to fraction form
    1,071.45/1,477.80 = 678.11/x
  3. Step 3: Cross multiply
    1,071.45x = 1,477.80 × 678.11
  4. Step 4: Simplify right side
    1,071.45x = 1,002,103.57
  5. Step 5: Solve for x
    x = 1,002,103.57/1,071.45
  6. Step 6: Final answer
    x = 935.28

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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.