Home / 1,087.17-1,631.21-470.76

Finding the Fourth Proportional to 1,087.17, 1,631.21 and 470.76

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Solution

The fourth proportional to 1,087.17, 1,631.21 and 470.76 is: 706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.17 : 1,631.21 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,087.17/1,631.21 = 470.76/x
  3. Step 3: Cross multiply
    1,087.17x = 1,631.21 × 470.76
  4. Step 4: Simplify right side
    1,087.17x = 767,908.42
  5. Step 5: Solve for x
    x = 767,908.42/1,087.17
  6. Step 6: Final answer
    x = 706.34

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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.