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Finding the Fourth Proportional to 716.24, 988.40 and 421.50

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Solution

The fourth proportional to 716.24, 988.40 and 421.50 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 988.40 = 421.50 : x
  2. Step 2: Convert to fraction form
    716.24/988.40 = 421.50/x
  3. Step 3: Cross multiply
    716.24x = 988.40 × 421.50
  4. Step 4: Simplify right side
    716.24x = 416,610.60
  5. Step 5: Solve for x
    x = 416,610.60/716.24
  6. Step 6: Final answer
    x = 581.66

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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.