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Finding the Fourth Proportional to 709.12, 977.97 and 460.35

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Solution

The fourth proportional to 709.12, 977.97 and 460.35 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 977.97 = 460.35 : x
  2. Step 2: Convert to fraction form
    709.12/977.97 = 460.35/x
  3. Step 3: Cross multiply
    709.12x = 977.97 × 460.35
  4. Step 4: Simplify right side
    709.12x = 450,210.22
  5. Step 5: Solve for x
    x = 450,210.22/709.12
  6. Step 6: Final answer
    x = 634.88

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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.