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Finding the Fourth Proportional to 912.23, 1,259.93 and 664.66

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Solution

The fourth proportional to 912.23, 1,259.93 and 664.66 is: 918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.23 : 1,259.93 = 664.66 : x
  2. Step 2: Convert to fraction form
    912.23/1,259.93 = 664.66/x
  3. Step 3: Cross multiply
    912.23x = 1,259.93 × 664.66
  4. Step 4: Simplify right side
    912.23x = 837,425.07
  5. Step 5: Solve for x
    x = 837,425.07/912.23
  6. Step 6: Final answer
    x = 918.00

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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.