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Finding the Fourth Proportional to 720.99, 993.74 and 616.08

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Solution

The fourth proportional to 720.99, 993.74 and 616.08 is: 849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.99 : 993.74 = 616.08 : x
  2. Step 2: Convert to fraction form
    720.99/993.74 = 616.08/x
  3. Step 3: Cross multiply
    720.99x = 993.74 × 616.08
  4. Step 4: Simplify right side
    720.99x = 612,223.34
  5. Step 5: Solve for x
    x = 612,223.34/720.99
  6. Step 6: Final answer
    x = 849.14

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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.