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Finding the Fourth Proportional to 678.10, 935.68 and 383.32

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Solution

The fourth proportional to 678.10, 935.68 and 383.32 is: 528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 935.68 = 383.32 : x
  2. Step 2: Convert to fraction form
    678.10/935.68 = 383.32/x
  3. Step 3: Cross multiply
    678.10x = 935.68 × 383.32
  4. Step 4: Simplify right side
    678.10x = 358,664.86
  5. Step 5: Solve for x
    x = 358,664.86/678.10
  6. Step 6: Final answer
    x = 528.93

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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.