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Finding the Fourth Proportional to 975.94, 1,345.89 and 844.18

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Solution

The fourth proportional to 975.94, 1,345.89 and 844.18 is: 1,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 1,345.89 = 844.18 : x
  2. Step 2: Convert to fraction form
    975.94/1,345.89 = 844.18/x
  3. Step 3: Cross multiply
    975.94x = 1,345.89 × 844.18
  4. Step 4: Simplify right side
    975.94x = 1,136,173.42
  5. Step 5: Solve for x
    x = 1,136,173.42/975.94
  6. Step 6: Final answer
    x = 1,164.18

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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.