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Finding the Fourth Proportional to 673.48, 1,005.77 and 543.64

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Solution

The fourth proportional to 673.48, 1,005.77 and 543.64 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.48 : 1,005.77 = 543.64 : x
  2. Step 2: Convert to fraction form
    673.48/1,005.77 = 543.64/x
  3. Step 3: Cross multiply
    673.48x = 1,005.77 × 543.64
  4. Step 4: Simplify right side
    673.48x = 546,776.80
  5. Step 5: Solve for x
    x = 546,776.80/673.48
  6. Step 6: Final answer
    x = 811.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.