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Finding the Fourth Proportional to 541.78, 747.12 and 345.40

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Solution

The fourth proportional to 541.78, 747.12 and 345.40 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 747.12 = 345.40 : x
  2. Step 2: Convert to fraction form
    541.78/747.12 = 345.40/x
  3. Step 3: Cross multiply
    541.78x = 747.12 × 345.40
  4. Step 4: Simplify right side
    541.78x = 258,055.25
  5. Step 5: Solve for x
    x = 258,055.25/541.78
  6. Step 6: Final answer
    x = 476.31

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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.