Home / 1,731.18-2,596.38-498.31

Finding the Fourth Proportional to 1,731.18, 2,596.38 and 498.31

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Solution

The fourth proportional to 1,731.18, 2,596.38 and 498.31 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.18 : 2,596.38 = 498.31 : x
  2. Step 2: Convert to fraction form
    1,731.18/2,596.38 = 498.31/x
  3. Step 3: Cross multiply
    1,731.18x = 2,596.38 × 498.31
  4. Step 4: Simplify right side
    1,731.18x = 1,293,802.12
  5. Step 5: Solve for x
    x = 1,293,802.12/1,731.18
  6. Step 6: Final answer
    x = 747.35

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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.