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Finding the Fourth Proportional to 538.67, 742.88 and 455.69

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Solution

The fourth proportional to 538.67, 742.88 and 455.69 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 742.88 = 455.69 : x
  2. Step 2: Convert to fraction form
    538.67/742.88 = 455.69/x
  3. Step 3: Cross multiply
    538.67x = 742.88 × 455.69
  4. Step 4: Simplify right side
    538.67x = 338,522.99
  5. Step 5: Solve for x
    x = 338,522.99/538.67
  6. Step 6: Final answer
    x = 628.44

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.