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Finding the Fourth Proportional to 608.37, 909.06 and 498.75

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Solution

The fourth proportional to 608.37, 909.06 and 498.75 is: 745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.37 : 909.06 = 498.75 : x
  2. Step 2: Convert to fraction form
    608.37/909.06 = 498.75/x
  3. Step 3: Cross multiply
    608.37x = 909.06 × 498.75
  4. Step 4: Simplify right side
    608.37x = 453,393.68
  5. Step 5: Solve for x
    x = 453,393.68/608.37
  6. Step 6: Final answer
    x = 745.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.