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Finding the Fourth Proportional to 1,008, 1,390.74 and 588.36

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Solution

The fourth proportional to 1,008, 1,390.74 and 588.36 is: 811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008 : 1,390.74 = 588.36 : x
  2. Step 2: Convert to fraction form
    1,008/1,390.74 = 588.36/x
  3. Step 3: Cross multiply
    1,008x = 1,390.74 × 588.36
  4. Step 4: Simplify right side
    1,008x = 818,255.79
  5. Step 5: Solve for x
    x = 818,255.79/1,008
  6. Step 6: Final answer
    x = 811.76

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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.