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Finding the Fourth Proportional to 576.40, 859.16 and 522.40

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Solution

The fourth proportional to 576.40, 859.16 and 522.40 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 859.16 = 522.40 : x
  2. Step 2: Convert to fraction form
    576.40/859.16 = 522.40/x
  3. Step 3: Cross multiply
    576.40x = 859.16 × 522.40
  4. Step 4: Simplify right side
    576.40x = 448,825.18
  5. Step 5: Solve for x
    x = 448,825.18/576.40
  6. Step 6: Final answer
    x = 778.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.