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Finding the Fourth Proportional to 677.32, 935.40 and 502.36

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Solution

The fourth proportional to 677.32, 935.40 and 502.36 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.32 : 935.40 = 502.36 : x
  2. Step 2: Convert to fraction form
    677.32/935.40 = 502.36/x
  3. Step 3: Cross multiply
    677.32x = 935.40 × 502.36
  4. Step 4: Simplify right side
    677.32x = 469,907.54
  5. Step 5: Solve for x
    x = 469,907.54/677.32
  6. Step 6: Final answer
    x = 693.77

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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.