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Finding the Fourth Proportional to 975.98, 1,464.15 and 611.21

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Solution

The fourth proportional to 975.98, 1,464.15 and 611.21 is: 916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,464.15 = 611.21 : x
  2. Step 2: Convert to fraction form
    975.98/1,464.15 = 611.21/x
  3. Step 3: Cross multiply
    975.98x = 1,464.15 × 611.21
  4. Step 4: Simplify right side
    975.98x = 894,903.12
  5. Step 5: Solve for x
    x = 894,903.12/975.98
  6. Step 6: Final answer
    x = 916.93

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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.