Home / 1,037.48-1,431.75-565.40

Finding the Fourth Proportional to 1,037.48, 1,431.75 and 565.40

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Solution

The fourth proportional to 1,037.48, 1,431.75 and 565.40 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.48 : 1,431.75 = 565.40 : x
  2. Step 2: Convert to fraction form
    1,037.48/1,431.75 = 565.40/x
  3. Step 3: Cross multiply
    1,037.48x = 1,431.75 × 565.40
  4. Step 4: Simplify right side
    1,037.48x = 809,511.45
  5. Step 5: Solve for x
    x = 809,511.45/1,037.48
  6. Step 6: Final answer
    x = 780.27

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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.