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Finding the Fourth Proportional to 454, 623.80 and 370.88

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Solution

The fourth proportional to 454, 623.80 and 370.88 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 623.80 = 370.88 : x
  2. Step 2: Convert to fraction form
    454/623.80 = 370.88/x
  3. Step 3: Cross multiply
    454x = 623.80 × 370.88
  4. Step 4: Simplify right side
    454x = 231,354.94
  5. Step 5: Solve for x
    x = 231,354.94/454
  6. Step 6: Final answer
    x = 509.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.