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Finding the Fourth Proportional to 912.42, 1,257.93 and 649.98

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Solution

The fourth proportional to 912.42, 1,257.93 and 649.98 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,257.93 = 649.98 : x
  2. Step 2: Convert to fraction form
    912.42/1,257.93 = 649.98/x
  3. Step 3: Cross multiply
    912.42x = 1,257.93 × 649.98
  4. Step 4: Simplify right side
    912.42x = 817,629.34
  5. Step 5: Solve for x
    x = 817,629.34/912.42
  6. Step 6: Final answer
    x = 896.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.