Home / 1,315.53-1,973.29-494.19

Finding the Fourth Proportional to 1,315.53, 1,973.29 and 494.19

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Solution

The fourth proportional to 1,315.53, 1,973.29 and 494.19 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.53 : 1,973.29 = 494.19 : x
  2. Step 2: Convert to fraction form
    1,315.53/1,973.29 = 494.19/x
  3. Step 3: Cross multiply
    1,315.53x = 1,973.29 × 494.19
  4. Step 4: Simplify right side
    1,315.53x = 975,178.95
  5. Step 5: Solve for x
    x = 975,178.95/1,315.53
  6. Step 6: Final answer
    x = 741.28

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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.