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Finding the Fourth Proportional to 1,026.14, 1,413.05 and 869.00

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Solution

The fourth proportional to 1,026.14, 1,413.05 and 869.00 is: 1,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.14 : 1,413.05 = 869.00 : x
  2. Step 2: Convert to fraction form
    1,026.14/1,413.05 = 869.00/x
  3. Step 3: Cross multiply
    1,026.14x = 1,413.05 × 869.00
  4. Step 4: Simplify right side
    1,026.14x = 1,227,929.04
  5. Step 5: Solve for x
    x = 1,227,929.04/1,026.14
  6. Step 6: Final answer
    x = 1,196.65

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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.