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Finding the Fourth Proportional to 710.52, 981.90 and 577.49

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Solution

The fourth proportional to 710.52, 981.90 and 577.49 is: 798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.52 : 981.90 = 577.49 : x
  2. Step 2: Convert to fraction form
    710.52/981.90 = 577.49/x
  3. Step 3: Cross multiply
    710.52x = 981.90 × 577.49
  4. Step 4: Simplify right side
    710.52x = 567,032.52
  5. Step 5: Solve for x
    x = 567,032.52/710.52
  6. Step 6: Final answer
    x = 798.05

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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.