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Finding the Fourth Proportional to 1,077.53, 1,604.30 and 1,071.45

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Solution

The fourth proportional to 1,077.53, 1,604.30 and 1,071.45 is: 1,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.53 : 1,604.30 = 1,071.45 : x
  2. Step 2: Convert to fraction form
    1,077.53/1,604.30 = 1,071.45/x
  3. Step 3: Cross multiply
    1,077.53x = 1,604.30 × 1,071.45
  4. Step 4: Simplify right side
    1,077.53x = 1,718,921.88
  5. Step 5: Solve for x
    x = 1,718,921.88/1,077.53
  6. Step 6: Final answer
    x = 1,595.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.