Home / 1,087.71-1,630.76-976.74

Finding the Fourth Proportional to 1,087.71, 1,630.76 and 976.74

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Solution

The fourth proportional to 1,087.71, 1,630.76 and 976.74 is: 1,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.71 : 1,630.76 = 976.74 : x
  2. Step 2: Convert to fraction form
    1,087.71/1,630.76 = 976.74/x
  3. Step 3: Cross multiply
    1,087.71x = 1,630.76 × 976.74
  4. Step 4: Simplify right side
    1,087.71x = 1,592,823.64
  5. Step 5: Solve for x
    x = 1,592,823.64/1,087.71
  6. Step 6: Final answer
    x = 1,464.38

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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.