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Finding the Fourth Proportional to 576.96, 858.96 and 574.08

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Solution

The fourth proportional to 576.96, 858.96 and 574.08 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 858.96 = 574.08 : x
  2. Step 2: Convert to fraction form
    576.96/858.96 = 574.08/x
  3. Step 3: Cross multiply
    576.96x = 858.96 × 574.08
  4. Step 4: Simplify right side
    576.96x = 493,111.76
  5. Step 5: Solve for x
    x = 493,111.76/576.96
  6. Step 6: Final answer
    x = 854.67

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Why These Related Problems?

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