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Finding the Fourth Proportional to 508.09, 762.69 and 325.63

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Solution

The fourth proportional to 508.09, 762.69 and 325.63 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 762.69 = 325.63 : x
  2. Step 2: Convert to fraction form
    508.09/762.69 = 325.63/x
  3. Step 3: Cross multiply
    508.09x = 762.69 × 325.63
  4. Step 4: Simplify right side
    508.09x = 248,354.74
  5. Step 5: Solve for x
    x = 248,354.74/508.09
  6. Step 6: Final answer
    x = 488.80

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1.5x scale

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.