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Finding the Fourth Proportional to 946.83, 1,412.49 and 921.36

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Solution

The fourth proportional to 946.83, 1,412.49 and 921.36 is: 1,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.83 : 1,412.49 = 921.36 : x
  2. Step 2: Convert to fraction form
    946.83/1,412.49 = 921.36/x
  3. Step 3: Cross multiply
    946.83x = 1,412.49 × 921.36
  4. Step 4: Simplify right side
    946.83x = 1,301,411.79
  5. Step 5: Solve for x
    x = 1,301,411.79/946.83
  6. Step 6: Final answer
    x = 1,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.