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Finding the Fourth Proportional to 945.26, 1,305.06 and 609.32

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Solution

The fourth proportional to 945.26, 1,305.06 and 609.32 is: 841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.26 : 1,305.06 = 609.32 : x
  2. Step 2: Convert to fraction form
    945.26/1,305.06 = 609.32/x
  3. Step 3: Cross multiply
    945.26x = 1,305.06 × 609.32
  4. Step 4: Simplify right side
    945.26x = 795,192.63
  5. Step 5: Solve for x
    x = 795,192.63/945.26
  6. Step 6: Final answer
    x = 841.25

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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.