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Finding the Fourth Proportional to 1,162.95, 1,603.63 and 1,045.38

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Solution

The fourth proportional to 1,162.95, 1,603.63 and 1,045.38 is: 1,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.95 : 1,603.63 = 1,045.38 : x
  2. Step 2: Convert to fraction form
    1,162.95/1,603.63 = 1,045.38/x
  3. Step 3: Cross multiply
    1,162.95x = 1,603.63 × 1,045.38
  4. Step 4: Simplify right side
    1,162.95x = 1,676,402.73
  5. Step 5: Solve for x
    x = 1,676,402.73/1,162.95
  6. Step 6: Final answer
    x = 1,441.51

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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.