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Finding the Fourth Proportional to 1,037.40, 1,431.79 and 595.22

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Solution

The fourth proportional to 1,037.40, 1,431.79 and 595.22 is: 821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.40 : 1,431.79 = 595.22 : x
  2. Step 2: Convert to fraction form
    1,037.40/1,431.79 = 595.22/x
  3. Step 3: Cross multiply
    1,037.40x = 1,431.79 × 595.22
  4. Step 4: Simplify right side
    1,037.40x = 852,232.14
  5. Step 5: Solve for x
    x = 852,232.14/1,037.40
  6. Step 6: Final answer
    x = 821.50

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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.