Home / 1,154.34-1,731.96-505.17

Finding the Fourth Proportional to 1,154.34, 1,731.96 and 505.17

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Solution

The fourth proportional to 1,154.34, 1,731.96 and 505.17 is: 757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.34 : 1,731.96 = 505.17 : x
  2. Step 2: Convert to fraction form
    1,154.34/1,731.96 = 505.17/x
  3. Step 3: Cross multiply
    1,154.34x = 1,731.96 × 505.17
  4. Step 4: Simplify right side
    1,154.34x = 874,934.23
  5. Step 5: Solve for x
    x = 874,934.23/1,154.34
  6. Step 6: Final answer
    x = 757.95

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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.