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Finding the Fourth Proportional to 1,123.87, 1,550.93 and 626.50

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Solution

The fourth proportional to 1,123.87, 1,550.93 and 626.50 is: 864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.87 : 1,550.93 = 626.50 : x
  2. Step 2: Convert to fraction form
    1,123.87/1,550.93 = 626.50/x
  3. Step 3: Cross multiply
    1,123.87x = 1,550.93 × 626.50
  4. Step 4: Simplify right side
    1,123.87x = 971,654.51
  5. Step 5: Solve for x
    x = 971,654.51/1,123.87
  6. Step 6: Final answer
    x = 864.56

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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.