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Finding the Fourth Proportional to 488.32, 727.83 and 460.98

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Solution

The fourth proportional to 488.32, 727.83 and 460.98 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.32 : 727.83 = 460.98 : x
  2. Step 2: Convert to fraction form
    488.32/727.83 = 460.98/x
  3. Step 3: Cross multiply
    488.32x = 727.83 × 460.98
  4. Step 4: Simplify right side
    488.32x = 335,515.07
  5. Step 5: Solve for x
    x = 335,515.07/488.32
  6. Step 6: Final answer
    x = 687.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.