Home / 1,087.48-1,631.28-438.14

Finding the Fourth Proportional to 1,087.48, 1,631.28 and 438.14

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Solution

The fourth proportional to 1,087.48, 1,631.28 and 438.14 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.48 : 1,631.28 = 438.14 : x
  2. Step 2: Convert to fraction form
    1,087.48/1,631.28 = 438.14/x
  3. Step 3: Cross multiply
    1,087.48x = 1,631.28 × 438.14
  4. Step 4: Simplify right side
    1,087.48x = 714,729.02
  5. Step 5: Solve for x
    x = 714,729.02/1,087.48
  6. Step 6: Final answer
    x = 657.23

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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.