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Finding the Fourth Proportional to 945.76, 1,305.13 and 526.11

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Solution

The fourth proportional to 945.76, 1,305.13 and 526.11 is: 726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,305.13 = 526.11 : x
  2. Step 2: Convert to fraction form
    945.76/1,305.13 = 526.11/x
  3. Step 3: Cross multiply
    945.76x = 1,305.13 × 526.11
  4. Step 4: Simplify right side
    945.76x = 686,641.94
  5. Step 5: Solve for x
    x = 686,641.94/945.76
  6. Step 6: Final answer
    x = 726.02

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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.