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Finding the Fourth Proportional to 710.06, 980.33 and 543.96

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Solution

The fourth proportional to 710.06, 980.33 and 543.96 is: 751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.06 : 980.33 = 543.96 : x
  2. Step 2: Convert to fraction form
    710.06/980.33 = 543.96/x
  3. Step 3: Cross multiply
    710.06x = 980.33 × 543.96
  4. Step 4: Simplify right side
    710.06x = 533,257.59
  5. Step 5: Solve for x
    x = 533,257.59/710.06
  6. Step 6: Final answer
    x = 751.01

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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.