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Finding the Fourth Proportional to 705.36, 971.28 and 588.72

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Solution

The fourth proportional to 705.36, 971.28 and 588.72 is: 810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 971.28 = 588.72 : x
  2. Step 2: Convert to fraction form
    705.36/971.28 = 588.72/x
  3. Step 3: Cross multiply
    705.36x = 971.28 × 588.72
  4. Step 4: Simplify right side
    705.36x = 571,811.96
  5. Step 5: Solve for x
    x = 571,811.96/705.36
  6. Step 6: Final answer
    x = 810.67

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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.