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Finding the Fourth Proportional to 710.49, 980.95 and 445.03

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Solution

The fourth proportional to 710.49, 980.95 and 445.03 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.49 : 980.95 = 445.03 : x
  2. Step 2: Convert to fraction form
    710.49/980.95 = 445.03/x
  3. Step 3: Cross multiply
    710.49x = 980.95 × 445.03
  4. Step 4: Simplify right side
    710.49x = 436,552.18
  5. Step 5: Solve for x
    x = 436,552.18/710.49
  6. Step 6: Final answer
    x = 614.44

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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.