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Finding the Fourth Proportional to 710.91, 980.57 and 415.98

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Solution

The fourth proportional to 710.91, 980.57 and 415.98 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.91 : 980.57 = 415.98 : x
  2. Step 2: Convert to fraction form
    710.91/980.57 = 415.98/x
  3. Step 3: Cross multiply
    710.91x = 980.57 × 415.98
  4. Step 4: Simplify right side
    710.91x = 407,895.43
  5. Step 5: Solve for x
    x = 407,895.43/710.91
  6. Step 6: Final answer
    x = 573.77

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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.