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Finding the Fourth Proportional to 675.76, 932.38 and 427.37

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Solution

The fourth proportional to 675.76, 932.38 and 427.37 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.76 : 932.38 = 427.37 : x
  2. Step 2: Convert to fraction form
    675.76/932.38 = 427.37/x
  3. Step 3: Cross multiply
    675.76x = 932.38 × 427.37
  4. Step 4: Simplify right side
    675.76x = 398,471.24
  5. Step 5: Solve for x
    x = 398,471.24/675.76
  6. Step 6: Final answer
    x = 589.66

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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.