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Finding the Fourth Proportional to 945.82, 1,305.24 and 526.20

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Solution

The fourth proportional to 945.82, 1,305.24 and 526.20 is: 726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.82 : 1,305.24 = 526.20 : x
  2. Step 2: Convert to fraction form
    945.82/1,305.24 = 526.20/x
  3. Step 3: Cross multiply
    945.82x = 1,305.24 × 526.20
  4. Step 4: Simplify right side
    945.82x = 686,817.29
  5. Step 5: Solve for x
    x = 686,817.29/945.82
  6. Step 6: Final answer
    x = 726.16

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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.