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Finding the Fourth Proportional to 1,083.78, 1,501.70 and 1,069.74

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Solution

The fourth proportional to 1,083.78, 1,501.70 and 1,069.74 is: 1,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,501.70 = 1,069.74 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,501.70 = 1,069.74/x
  3. Step 3: Cross multiply
    1,083.78x = 1,501.70 × 1,069.74
  4. Step 4: Simplify right side
    1,083.78x = 1,606,423.21
  5. Step 5: Solve for x
    x = 1,606,423.21/1,083.78
  6. Step 6: Final answer
    x = 1,482.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.