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Finding the Fourth Proportional to 1,122.69, 1,548.99 and 703.47

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Solution

The fourth proportional to 1,122.69, 1,548.99 and 703.47 is: 970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.69 : 1,548.99 = 703.47 : x
  2. Step 2: Convert to fraction form
    1,122.69/1,548.99 = 703.47/x
  3. Step 3: Cross multiply
    1,122.69x = 1,548.99 × 703.47
  4. Step 4: Simplify right side
    1,122.69x = 1,089,668.00
  5. Step 5: Solve for x
    x = 1,089,668.00/1,122.69
  6. Step 6: Final answer
    x = 970.59

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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.