Home / 1,037.29-1,554.69-420.16

Finding the Fourth Proportional to 1,037.29, 1,554.69 and 420.16

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Solution

The fourth proportional to 1,037.29, 1,554.69 and 420.16 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.29 : 1,554.69 = 420.16 : x
  2. Step 2: Convert to fraction form
    1,037.29/1,554.69 = 420.16/x
  3. Step 3: Cross multiply
    1,037.29x = 1,554.69 × 420.16
  4. Step 4: Simplify right side
    1,037.29x = 653,218.55
  5. Step 5: Solve for x
    x = 653,218.55/1,037.29
  6. Step 6: Final answer
    x = 629.74

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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.