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Finding the Fourth Proportional to 541.68, 747.64 and 320.72

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Solution

The fourth proportional to 541.68, 747.64 and 320.72 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 747.64 = 320.72 : x
  2. Step 2: Convert to fraction form
    541.68/747.64 = 320.72/x
  3. Step 3: Cross multiply
    541.68x = 747.64 × 320.72
  4. Step 4: Simplify right side
    541.68x = 239,783.10
  5. Step 5: Solve for x
    x = 239,783.10/541.68
  6. Step 6: Final answer
    x = 442.67

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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.