Home / 1,316.35-1,973.30-495.16

Finding the Fourth Proportional to 1,316.35, 1,973.30 and 495.16

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Solution

The fourth proportional to 1,316.35, 1,973.30 and 495.16 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.35 : 1,973.30 = 495.16 : x
  2. Step 2: Convert to fraction form
    1,316.35/1,973.30 = 495.16/x
  3. Step 3: Cross multiply
    1,316.35x = 1,973.30 × 495.16
  4. Step 4: Simplify right side
    1,316.35x = 977,106.01
  5. Step 5: Solve for x
    x = 977,106.01/1,316.35
  6. Step 6: Final answer
    x = 742.29

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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.