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Finding the Fourth Proportional to 945.98, 1,305.43 and 526.33

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Solution

The fourth proportional to 945.98, 1,305.43 and 526.33 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.98 : 1,305.43 = 526.33 : x
  2. Step 2: Convert to fraction form
    945.98/1,305.43 = 526.33/x
  3. Step 3: Cross multiply
    945.98x = 1,305.43 × 526.33
  4. Step 4: Simplify right side
    945.98x = 687,087.29
  5. Step 5: Solve for x
    x = 687,087.29/945.98
  6. Step 6: Final answer
    x = 726.32

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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.