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Finding the Fourth Proportional to 1,123.98, 1,552.05 and 705.03

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Solution

The fourth proportional to 1,123.98, 1,552.05 and 705.03 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.98 : 1,552.05 = 705.03 : x
  2. Step 2: Convert to fraction form
    1,123.98/1,552.05 = 705.03/x
  3. Step 3: Cross multiply
    1,123.98x = 1,552.05 × 705.03
  4. Step 4: Simplify right side
    1,123.98x = 1,094,241.81
  5. Step 5: Solve for x
    x = 1,094,241.81/1,123.98
  6. Step 6: Final answer
    x = 973.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.