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Finding the Fourth Proportional to 1,018.67, 1,406.03 and 703.98

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Solution

The fourth proportional to 1,018.67, 1,406.03 and 703.98 is: 971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.67 : 1,406.03 = 703.98 : x
  2. Step 2: Convert to fraction form
    1,018.67/1,406.03 = 703.98/x
  3. Step 3: Cross multiply
    1,018.67x = 1,406.03 × 703.98
  4. Step 4: Simplify right side
    1,018.67x = 989,813.48
  5. Step 5: Solve for x
    x = 989,813.48/1,018.67
  6. Step 6: Final answer
    x = 971.68

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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.