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Finding the Fourth Proportional to 710.36, 980.55 and 415.86

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Solution

The fourth proportional to 710.36, 980.55 and 415.86 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 980.55 = 415.86 : x
  2. Step 2: Convert to fraction form
    710.36/980.55 = 415.86/x
  3. Step 3: Cross multiply
    710.36x = 980.55 × 415.86
  4. Step 4: Simplify right side
    710.36x = 407,771.52
  5. Step 5: Solve for x
    x = 407,771.52/710.36
  6. Step 6: Final answer
    x = 574.04

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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.