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Finding the Fourth Proportional to 709.93, 979.86 and 448.30

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Solution

The fourth proportional to 709.93, 979.86 and 448.30 is: 618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.93 : 979.86 = 448.30 : x
  2. Step 2: Convert to fraction form
    709.93/979.86 = 448.30/x
  3. Step 3: Cross multiply
    709.93x = 979.86 × 448.30
  4. Step 4: Simplify right side
    709.93x = 439,271.24
  5. Step 5: Solve for x
    x = 439,271.24/709.93
  6. Step 6: Final answer
    x = 618.75

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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.