Home / 1,534.20-2,301.32-438.58

Finding the Fourth Proportional to 1,534.20, 2,301.32 and 438.58

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Solution

The fourth proportional to 1,534.20, 2,301.32 and 438.58 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.20 : 2,301.32 = 438.58 : x
  2. Step 2: Convert to fraction form
    1,534.20/2,301.32 = 438.58/x
  3. Step 3: Cross multiply
    1,534.20x = 2,301.32 × 438.58
  4. Step 4: Simplify right side
    1,534.20x = 1,009,312.93
  5. Step 5: Solve for x
    x = 1,009,312.93/1,534.20
  6. Step 6: Final answer
    x = 657.88

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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.