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Finding the Fourth Proportional to 678.07, 935.47 and 442.29

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Solution

The fourth proportional to 678.07, 935.47 and 442.29 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.07 : 935.47 = 442.29 : x
  2. Step 2: Convert to fraction form
    678.07/935.47 = 442.29/x
  3. Step 3: Cross multiply
    678.07x = 935.47 × 442.29
  4. Step 4: Simplify right side
    678.07x = 413,746.81
  5. Step 5: Solve for x
    x = 413,746.81/678.07
  6. Step 6: Final answer
    x = 610.19

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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.