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Finding the Fourth Proportional to 540.77, 745.09 and 365.81

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Solution

The fourth proportional to 540.77, 745.09 and 365.81 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 745.09 = 365.81 : x
  2. Step 2: Convert to fraction form
    540.77/745.09 = 365.81/x
  3. Step 3: Cross multiply
    540.77x = 745.09 × 365.81
  4. Step 4: Simplify right side
    540.77x = 272,556.73
  5. Step 5: Solve for x
    x = 272,556.73/540.77
  6. Step 6: Final answer
    x = 504.02

Related Problems

Find fourth proportional to 270.38, 372.54 and 182.90
Half scale
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Double scale
Find fourth proportional to 541.77, 746.47 and 366.81
Similar ratio
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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.