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Finding the Fourth Proportional to 594.18, 890.96 and 285.75

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Solution

The fourth proportional to 594.18, 890.96 and 285.75 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 890.96 = 285.75 : x
  2. Step 2: Convert to fraction form
    594.18/890.96 = 285.75/x
  3. Step 3: Cross multiply
    594.18x = 890.96 × 285.75
  4. Step 4: Simplify right side
    594.18x = 254,590.39
  5. Step 5: Solve for x
    x = 254,590.39/594.18
  6. Step 6: Final answer
    x = 428.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.