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Finding the Fourth Proportional to 1,100.49, 1,648.00 and 710.47

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Solution

The fourth proportional to 1,100.49, 1,648.00 and 710.47 is: 1,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.49 : 1,648.00 = 710.47 : x
  2. Step 2: Convert to fraction form
    1,100.49/1,648.00 = 710.47/x
  3. Step 3: Cross multiply
    1,100.49x = 1,648.00 × 710.47
  4. Step 4: Simplify right side
    1,100.49x = 1,170,853.51
  5. Step 5: Solve for x
    x = 1,170,853.51/1,100.49
  6. Step 6: Final answer
    x = 1,063.94

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