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Finding the Fourth Proportional to 710.50, 980.16 and 415.60

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Solution

The fourth proportional to 710.50, 980.16 and 415.60 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.50 : 980.16 = 415.60 : x
  2. Step 2: Convert to fraction form
    710.50/980.16 = 415.60/x
  3. Step 3: Cross multiply
    710.50x = 980.16 × 415.60
  4. Step 4: Simplify right side
    710.50x = 407,354.50
  5. Step 5: Solve for x
    x = 407,354.50/710.50
  6. Step 6: Final answer
    x = 573.33

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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.