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Finding the Fourth Proportional to 541.53, 747.04 and 320.10

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Solution

The fourth proportional to 541.53, 747.04 and 320.10 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.53 : 747.04 = 320.10 : x
  2. Step 2: Convert to fraction form
    541.53/747.04 = 320.10/x
  3. Step 3: Cross multiply
    541.53x = 747.04 × 320.10
  4. Step 4: Simplify right side
    541.53x = 239,127.50
  5. Step 5: Solve for x
    x = 239,127.50/541.53
  6. Step 6: Final answer
    x = 441.58

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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.