Home / 1,022.47-1,534.01-437.15

Finding the Fourth Proportional to 1,022.47, 1,534.01 and 437.15

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Solution

The fourth proportional to 1,022.47, 1,534.01 and 437.15 is: 655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.47 : 1,534.01 = 437.15 : x
  2. Step 2: Convert to fraction form
    1,022.47/1,534.01 = 437.15/x
  3. Step 3: Cross multiply
    1,022.47x = 1,534.01 × 437.15
  4. Step 4: Simplify right side
    1,022.47x = 670,594.12
  5. Step 5: Solve for x
    x = 670,594.12/1,022.47
  6. Step 6: Final answer
    x = 655.86

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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.