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Finding the Fourth Proportional to 1,264.58, 1,745.16 and 1,054.40

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Solution

The fourth proportional to 1,264.58, 1,745.16 and 1,054.40 is: 1,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.58 : 1,745.16 = 1,054.40 : x
  2. Step 2: Convert to fraction form
    1,264.58/1,745.16 = 1,054.40/x
  3. Step 3: Cross multiply
    1,264.58x = 1,745.16 × 1,054.40
  4. Step 4: Simplify right side
    1,264.58x = 1,840,087.98
  5. Step 5: Solve for x
    x = 1,840,087.98/1,264.58
  6. Step 6: Final answer
    x = 1,455.10

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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.