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Finding the Fourth Proportional to 994.88, 1,373.28 and 646.40

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Solution

The fourth proportional to 994.88, 1,373.28 and 646.40 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,373.28 = 646.40 : x
  2. Step 2: Convert to fraction form
    994.88/1,373.28 = 646.40/x
  3. Step 3: Cross multiply
    994.88x = 1,373.28 × 646.40
  4. Step 4: Simplify right side
    994.88x = 887,688.19
  5. Step 5: Solve for x
    x = 887,688.19/994.88
  6. Step 6: Final answer
    x = 892.26

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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.