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Finding the Fourth Proportional to 1,069.10, 1,595.92 and 988.94

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Solution

The fourth proportional to 1,069.10, 1,595.92 and 988.94 is: 1,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.10 : 1,595.92 = 988.94 : x
  2. Step 2: Convert to fraction form
    1,069.10/1,595.92 = 988.94/x
  3. Step 3: Cross multiply
    1,069.10x = 1,595.92 × 988.94
  4. Step 4: Simplify right side
    1,069.10x = 1,578,269.12
  5. Step 5: Solve for x
    x = 1,578,269.12/1,069.10
  6. Step 6: Final answer
    x = 1,476.26

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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.