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Finding the Fourth Proportional to 678.16, 936.13 and 457.75

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Solution

The fourth proportional to 678.16, 936.13 and 457.75 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 936.13 = 457.75 : x
  2. Step 2: Convert to fraction form
    678.16/936.13 = 457.75/x
  3. Step 3: Cross multiply
    678.16x = 936.13 × 457.75
  4. Step 4: Simplify right side
    678.16x = 428,513.51
  5. Step 5: Solve for x
    x = 428,513.51/678.16
  6. Step 6: Final answer
    x = 631.88

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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.