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Finding the Fourth Proportional to 661.36, 913.44 and 543.64

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Solution

The fourth proportional to 661.36, 913.44 and 543.64 is: 750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.36 : 913.44 = 543.64 : x
  2. Step 2: Convert to fraction form
    661.36/913.44 = 543.64/x
  3. Step 3: Cross multiply
    661.36x = 913.44 × 543.64
  4. Step 4: Simplify right side
    661.36x = 496,582.52
  5. Step 5: Solve for x
    x = 496,582.52/661.36
  6. Step 6: Final answer
    x = 750.85

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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.