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Finding the Fourth Proportional to 975.58, 1,462.62 and 488.96

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Solution

The fourth proportional to 975.58, 1,462.62 and 488.96 is: 733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.58 : 1,462.62 = 488.96 : x
  2. Step 2: Convert to fraction form
    975.58/1,462.62 = 488.96/x
  3. Step 3: Cross multiply
    975.58x = 1,462.62 × 488.96
  4. Step 4: Simplify right side
    975.58x = 715,162.68
  5. Step 5: Solve for x
    x = 715,162.68/975.58
  6. Step 6: Final answer
    x = 733.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.