Home / 1,154.16-1,731.65-505.35

Finding the Fourth Proportional to 1,154.16, 1,731.65 and 505.35

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Solution

The fourth proportional to 1,154.16, 1,731.65 and 505.35 is: 758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.16 : 1,731.65 = 505.35 : x
  2. Step 2: Convert to fraction form
    1,154.16/1,731.65 = 505.35/x
  3. Step 3: Cross multiply
    1,154.16x = 1,731.65 × 505.35
  4. Step 4: Simplify right side
    1,154.16x = 875,086.80
  5. Step 5: Solve for x
    x = 875,086.80/1,154.16
  6. Step 6: Final answer
    x = 758.20

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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.