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Finding the Fourth Proportional to 678.21, 935.06 and 553.07

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Solution

The fourth proportional to 678.21, 935.06 and 553.07 is: 762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.21 : 935.06 = 553.07 : x
  2. Step 2: Convert to fraction form
    678.21/935.06 = 553.07/x
  3. Step 3: Cross multiply
    678.21x = 935.06 × 553.07
  4. Step 4: Simplify right side
    678.21x = 517,146.19
  5. Step 5: Solve for x
    x = 517,146.19/678.21
  6. Step 6: Final answer
    x = 762.52

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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.