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Finding the Fourth Proportional to 945.72, 1,305.16 and 526.10

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Solution

The fourth proportional to 945.72, 1,305.16 and 526.10 is: 726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.72 : 1,305.16 = 526.10 : x
  2. Step 2: Convert to fraction form
    945.72/1,305.16 = 526.10/x
  3. Step 3: Cross multiply
    945.72x = 1,305.16 × 526.10
  4. Step 4: Simplify right side
    945.72x = 686,642.05
  5. Step 5: Solve for x
    x = 686,642.05/945.72
  6. Step 6: Final answer
    x = 726.06

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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.