Home / 1,157.76-1,736.88-508.16

Finding the Fourth Proportional to 1,157.76, 1,736.88 and 508.16

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Solution

The fourth proportional to 1,157.76, 1,736.88 and 508.16 is: 762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.76 : 1,736.88 = 508.16 : x
  2. Step 2: Convert to fraction form
    1,157.76/1,736.88 = 508.16/x
  3. Step 3: Cross multiply
    1,157.76x = 1,736.88 × 508.16
  4. Step 4: Simplify right side
    1,157.76x = 882,612.94
  5. Step 5: Solve for x
    x = 882,612.94/1,157.76
  6. Step 6: Final answer
    x = 762.35

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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.