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Finding the Fourth Proportional to 543.60, 739.80 and 543.60

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Solution

The fourth proportional to 543.60, 739.80 and 543.60 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 739.80 = 543.60 : x
  2. Step 2: Convert to fraction form
    543.60/739.80 = 543.60/x
  3. Step 3: Cross multiply
    543.60x = 739.80 × 543.60
  4. Step 4: Simplify right side
    543.60x = 402,155.28
  5. Step 5: Solve for x
    x = 402,155.28/543.60
  6. Step 6: Final answer
    x = 739.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.