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Finding the Fourth Proportional to 592.83, 890.46 and 455.40

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Solution

The fourth proportional to 592.83, 890.46 and 455.40 is: 684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 890.46 = 455.40 : x
  2. Step 2: Convert to fraction form
    592.83/890.46 = 455.40/x
  3. Step 3: Cross multiply
    592.83x = 890.46 × 455.40
  4. Step 4: Simplify right side
    592.83x = 405,515.48
  5. Step 5: Solve for x
    x = 405,515.48/592.83
  6. Step 6: Final answer
    x = 684.03

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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.