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Finding the Fourth Proportional to 946.01, 1,304.33 and 609.35

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Solution

The fourth proportional to 946.01, 1,304.33 and 609.35 is: 840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.01 : 1,304.33 = 609.35 : x
  2. Step 2: Convert to fraction form
    946.01/1,304.33 = 609.35/x
  3. Step 3: Cross multiply
    946.01x = 1,304.33 × 609.35
  4. Step 4: Simplify right side
    946.01x = 794,783.92
  5. Step 5: Solve for x
    x = 794,783.92/946.01
  6. Step 6: Final answer
    x = 840.14

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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.