Home / 1,037.31-1,431.57-595.35

Finding the Fourth Proportional to 1,037.31, 1,431.57 and 595.35

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Solution

The fourth proportional to 1,037.31, 1,431.57 and 595.35 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.31 : 1,431.57 = 595.35 : x
  2. Step 2: Convert to fraction form
    1,037.31/1,431.57 = 595.35/x
  3. Step 3: Cross multiply
    1,037.31x = 1,431.57 × 595.35
  4. Step 4: Simplify right side
    1,037.31x = 852,282.22
  5. Step 5: Solve for x
    x = 852,282.22/1,037.31
  6. Step 6: Final answer
    x = 821.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.