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Finding the Fourth Proportional to 710.43, 980.21 and 415.77

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Solution

The fourth proportional to 710.43, 980.21 and 415.77 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.43 : 980.21 = 415.77 : x
  2. Step 2: Convert to fraction form
    710.43/980.21 = 415.77/x
  3. Step 3: Cross multiply
    710.43x = 980.21 × 415.77
  4. Step 4: Simplify right side
    710.43x = 407,539.83
  5. Step 5: Solve for x
    x = 407,539.83/710.43
  6. Step 6: Final answer
    x = 573.65

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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.