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Finding the Fourth Proportional to 975.98, 1,462.68 and 584.72

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Solution

The fourth proportional to 975.98, 1,462.68 and 584.72 is: 876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,462.68 = 584.72 : x
  2. Step 2: Convert to fraction form
    975.98/1,462.68 = 584.72/x
  3. Step 3: Cross multiply
    975.98x = 1,462.68 × 584.72
  4. Step 4: Simplify right side
    975.98x = 855,258.25
  5. Step 5: Solve for x
    x = 855,258.25/975.98
  6. Step 6: Final answer
    x = 876.31

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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.