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Finding the Fourth Proportional to 541.95, 748.32 and 384.93

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Solution

The fourth proportional to 541.95, 748.32 and 384.93 is: 531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.95 : 748.32 = 384.93 : x
  2. Step 2: Convert to fraction form
    541.95/748.32 = 384.93/x
  3. Step 3: Cross multiply
    541.95x = 748.32 × 384.93
  4. Step 4: Simplify right side
    541.95x = 288,050.82
  5. Step 5: Solve for x
    x = 288,050.82/541.95
  6. Step 6: Final answer
    x = 531.51

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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.