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Finding the Fourth Proportional to 720.70, 994.53 and 405.99

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Solution

The fourth proportional to 720.70, 994.53 and 405.99 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.70 : 994.53 = 405.99 : x
  2. Step 2: Convert to fraction form
    720.70/994.53 = 405.99/x
  3. Step 3: Cross multiply
    720.70x = 994.53 × 405.99
  4. Step 4: Simplify right side
    720.70x = 403,769.23
  5. Step 5: Solve for x
    x = 403,769.23/720.70
  6. Step 6: Final answer
    x = 560.25

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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.