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Finding the Fourth Proportional to 678.51, 935.75 and 468.32

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Solution

The fourth proportional to 678.51, 935.75 and 468.32 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 935.75 = 468.32 : x
  2. Step 2: Convert to fraction form
    678.51/935.75 = 468.32/x
  3. Step 3: Cross multiply
    678.51x = 935.75 × 468.32
  4. Step 4: Simplify right side
    678.51x = 438,226.93
  5. Step 5: Solve for x
    x = 438,226.93/678.51
  6. Step 6: Final answer
    x = 645.87

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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.