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Finding the Fourth Proportional to 677.92, 935.76 and 595.12

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Solution

The fourth proportional to 677.92, 935.76 and 595.12 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.92 : 935.76 = 595.12 : x
  2. Step 2: Convert to fraction form
    677.92/935.76 = 595.12/x
  3. Step 3: Cross multiply
    677.92x = 935.76 × 595.12
  4. Step 4: Simplify right side
    677.92x = 556,889.49
  5. Step 5: Solve for x
    x = 556,889.49/677.92
  6. Step 6: Final answer
    x = 821.47

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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.