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Finding the Fourth Proportional to 678.82, 936.88 and 430.17

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Solution

The fourth proportional to 678.82, 936.88 and 430.17 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 936.88 = 430.17 : x
  2. Step 2: Convert to fraction form
    678.82/936.88 = 430.17/x
  3. Step 3: Cross multiply
    678.82x = 936.88 × 430.17
  4. Step 4: Simplify right side
    678.82x = 403,011.96
  5. Step 5: Solve for x
    x = 403,011.96/678.82
  6. Step 6: Final answer
    x = 593.69

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1.5x scale

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.