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Finding the Fourth Proportional to 1,018.88, 1,406.64 and 708.80

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Solution

The fourth proportional to 1,018.88, 1,406.64 and 708.80 is: 978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.88 : 1,406.64 = 708.80 : x
  2. Step 2: Convert to fraction form
    1,018.88/1,406.64 = 708.80/x
  3. Step 3: Cross multiply
    1,018.88x = 1,406.64 × 708.80
  4. Step 4: Simplify right side
    1,018.88x = 997,026.43
  5. Step 5: Solve for x
    x = 997,026.43/1,018.88
  6. Step 6: Final answer
    x = 978.55

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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.