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Finding the Fourth Proportional to 1,187.48, 1,779 and 699.08

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Solution

The fourth proportional to 1,187.48, 1,779 and 699.08 is: 1,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.48 : 1,779 = 699.08 : x
  2. Step 2: Convert to fraction form
    1,187.48/1,779 = 699.08/x
  3. Step 3: Cross multiply
    1,187.48x = 1,779 × 699.08
  4. Step 4: Simplify right side
    1,187.48x = 1,243,663.32
  5. Step 5: Solve for x
    x = 1,243,663.32/1,187.48
  6. Step 6: Final answer
    x = 1,047.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.