Home / 1,727.02-2,590.18-494.20

Finding the Fourth Proportional to 1,727.02, 2,590.18 and 494.20

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Solution

The fourth proportional to 1,727.02, 2,590.18 and 494.20 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.02 : 2,590.18 = 494.20 : x
  2. Step 2: Convert to fraction form
    1,727.02/2,590.18 = 494.20/x
  3. Step 3: Cross multiply
    1,727.02x = 2,590.18 × 494.20
  4. Step 4: Simplify right side
    1,727.02x = 1,280,068.96
  5. Step 5: Solve for x
    x = 1,280,068.96/1,727.02
  6. Step 6: Final answer
    x = 741.20

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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.