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Finding the Fourth Proportional to 550.76, 759.26 and 419.54

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Solution

The fourth proportional to 550.76, 759.26 and 419.54 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 759.26 = 419.54 : x
  2. Step 2: Convert to fraction form
    550.76/759.26 = 419.54/x
  3. Step 3: Cross multiply
    550.76x = 759.26 × 419.54
  4. Step 4: Simplify right side
    550.76x = 318,537.84
  5. Step 5: Solve for x
    x = 318,537.84/550.76
  6. Step 6: Final answer
    x = 578.36

Related Problems

Find fourth proportional to 275.38, 379.63 and 209.77
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Double scale
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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.