Home / 1,155.04-1,732.64-289.36

Finding the Fourth Proportional to 1,155.04, 1,732.64 and 289.36

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Solution

The fourth proportional to 1,155.04, 1,732.64 and 289.36 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.04 : 1,732.64 = 289.36 : x
  2. Step 2: Convert to fraction form
    1,155.04/1,732.64 = 289.36/x
  3. Step 3: Cross multiply
    1,155.04x = 1,732.64 × 289.36
  4. Step 4: Simplify right side
    1,155.04x = 501,356.71
  5. Step 5: Solve for x
    x = 501,356.71/1,155.04
  6. Step 6: Final answer
    x = 434.06

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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.