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Finding the Fourth Proportional to 946.74, 1,418.66 and 637.45

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Solution

The fourth proportional to 946.74, 1,418.66 and 637.45 is: 955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.74 : 1,418.66 = 637.45 : x
  2. Step 2: Convert to fraction form
    946.74/1,418.66 = 637.45/x
  3. Step 3: Cross multiply
    946.74x = 1,418.66 × 637.45
  4. Step 4: Simplify right side
    946.74x = 904,324.82
  5. Step 5: Solve for x
    x = 904,324.82/946.74
  6. Step 6: Final answer
    x = 955.20

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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.