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Finding the Fourth Proportional to 1,087.75, 1,628.57 and 624.84

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Solution

The fourth proportional to 1,087.75, 1,628.57 and 624.84 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.75 : 1,628.57 = 624.84 : x
  2. Step 2: Convert to fraction form
    1,087.75/1,628.57 = 624.84/x
  3. Step 3: Cross multiply
    1,087.75x = 1,628.57 × 624.84
  4. Step 4: Simplify right side
    1,087.75x = 1,017,587.62
  5. Step 5: Solve for x
    x = 1,017,587.62/1,087.75
  6. Step 6: Final answer
    x = 935.50

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.