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Finding the Fourth Proportional to 918.69, 1,374.62 and 553.74

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Solution

The fourth proportional to 918.69, 1,374.62 and 553.74 is: 828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.69 : 1,374.62 = 553.74 : x
  2. Step 2: Convert to fraction form
    918.69/1,374.62 = 553.74/x
  3. Step 3: Cross multiply
    918.69x = 1,374.62 × 553.74
  4. Step 4: Simplify right side
    918.69x = 761,177.27
  5. Step 5: Solve for x
    x = 761,177.27/918.69
  6. Step 6: Final answer
    x = 828.54

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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.