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Finding the Fourth Proportional to 685.48, 945.90 and 538.46

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Solution

The fourth proportional to 685.48, 945.90 and 538.46 is: 743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.48 : 945.90 = 538.46 : x
  2. Step 2: Convert to fraction form
    685.48/945.90 = 538.46/x
  3. Step 3: Cross multiply
    685.48x = 945.90 × 538.46
  4. Step 4: Simplify right side
    685.48x = 509,329.31
  5. Step 5: Solve for x
    x = 509,329.31/685.48
  6. Step 6: Final answer
    x = 743.03

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1.5x scale

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.