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Finding the Fourth Proportional to 710.02, 978.64 and 543.97

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Solution

The fourth proportional to 710.02, 978.64 and 543.97 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 978.64 = 543.97 : x
  2. Step 2: Convert to fraction form
    710.02/978.64 = 543.97/x
  3. Step 3: Cross multiply
    710.02x = 978.64 × 543.97
  4. Step 4: Simplify right side
    710.02x = 532,350.80
  5. Step 5: Solve for x
    x = 532,350.80/710.02
  6. Step 6: Final answer
    x = 749.77

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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.