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Finding the Fourth Proportional to 975.72, 1,461.58 and 823.24

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Solution

The fourth proportional to 975.72, 1,461.58 and 823.24 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.72 : 1,461.58 = 823.24 : x
  2. Step 2: Convert to fraction form
    975.72/1,461.58 = 823.24/x
  3. Step 3: Cross multiply
    975.72x = 1,461.58 × 823.24
  4. Step 4: Simplify right side
    975.72x = 1,203,231.12
  5. Step 5: Solve for x
    x = 1,203,231.12/975.72
  6. Step 6: Final answer
    x = 1,233.17

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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.