Home / 1,087.10-1,630.74-428.96

Finding the Fourth Proportional to 1,087.10, 1,630.74 and 428.96

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Solution

The fourth proportional to 1,087.10, 1,630.74 and 428.96 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.10 : 1,630.74 = 428.96 : x
  2. Step 2: Convert to fraction form
    1,087.10/1,630.74 = 428.96/x
  3. Step 3: Cross multiply
    1,087.10x = 1,630.74 × 428.96
  4. Step 4: Simplify right side
    1,087.10x = 699,522.23
  5. Step 5: Solve for x
    x = 699,522.23/1,087.10
  6. Step 6: Final answer
    x = 643.48

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Double 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.