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Finding the Fourth Proportional to 823.14, 1,235.68 and 649.93

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Solution

The fourth proportional to 823.14, 1,235.68 and 649.93 is: 975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,235.68 = 649.93 : x
  2. Step 2: Convert to fraction form
    823.14/1,235.68 = 649.93/x
  3. Step 3: Cross multiply
    823.14x = 1,235.68 × 649.93
  4. Step 4: Simplify right side
    823.14x = 803,096.07
  5. Step 5: Solve for x
    x = 803,096.07/823.14
  6. Step 6: Final answer
    x = 975.65

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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.