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Finding the Fourth Proportional to 685.05, 944.40 and 527.05

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Solution

The fourth proportional to 685.05, 944.40 and 527.05 is: 726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.05 : 944.40 = 527.05 : x
  2. Step 2: Convert to fraction form
    685.05/944.40 = 527.05/x
  3. Step 3: Cross multiply
    685.05x = 944.40 × 527.05
  4. Step 4: Simplify right side
    685.05x = 497,746.02
  5. Step 5: Solve for x
    x = 497,746.02/685.05
  6. Step 6: Final answer
    x = 726.58

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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.