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Finding the Fourth Proportional to 541.12, 745.84 and 383.80

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Solution

The fourth proportional to 541.12, 745.84 and 383.80 is: 529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 745.84 = 383.80 : x
  2. Step 2: Convert to fraction form
    541.12/745.84 = 383.80/x
  3. Step 3: Cross multiply
    541.12x = 745.84 × 383.80
  4. Step 4: Simplify right side
    541.12x = 286,253.39
  5. Step 5: Solve for x
    x = 286,253.39/541.12
  6. Step 6: Final answer
    x = 529.00

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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.