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Finding the Fourth Proportional to 945.80, 1,305.23 and 526.16

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Solution

The fourth proportional to 945.80, 1,305.23 and 526.16 is: 726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,305.23 = 526.16 : x
  2. Step 2: Convert to fraction form
    945.80/1,305.23 = 526.16/x
  3. Step 3: Cross multiply
    945.80x = 1,305.23 × 526.16
  4. Step 4: Simplify right side
    945.80x = 686,757.87
  5. Step 5: Solve for x
    x = 686,757.87/945.80
  6. Step 6: Final answer
    x = 726.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.