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Finding the Fourth Proportional to 1,087.08, 1,630.86 and 470.88

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Solution

The fourth proportional to 1,087.08, 1,630.86 and 470.88 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.08 : 1,630.86 = 470.88 : x
  2. Step 2: Convert to fraction form
    1,087.08/1,630.86 = 470.88/x
  3. Step 3: Cross multiply
    1,087.08x = 1,630.86 × 470.88
  4. Step 4: Simplify right side
    1,087.08x = 767,947.24
  5. Step 5: Solve for x
    x = 767,947.24/1,087.08
  6. Step 6: Final answer
    x = 706.43

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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.