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Finding the Fourth Proportional to 610.36, 840.48 and 543

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Solution

The fourth proportional to 610.36, 840.48 and 543 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.36 : 840.48 = 543 : x
  2. Step 2: Convert to fraction form
    610.36/840.48 = 543/x
  3. Step 3: Cross multiply
    610.36x = 840.48 × 543
  4. Step 4: Simplify right side
    610.36x = 456,380.64
  5. Step 5: Solve for x
    x = 456,380.64/610.36
  6. Step 6: Final answer
    x = 747.72

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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.