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Finding the Fourth Proportional to 577.68, 797.39 and 570.39

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Solution

The fourth proportional to 577.68, 797.39 and 570.39 is: 787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 797.39 = 570.39 : x
  2. Step 2: Convert to fraction form
    577.68/797.39 = 570.39/x
  3. Step 3: Cross multiply
    577.68x = 797.39 × 570.39
  4. Step 4: Simplify right side
    577.68x = 454,823.28
  5. Step 5: Solve for x
    x = 454,823.28/577.68
  6. Step 6: Final answer
    x = 787.33

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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.