Home / 1,314.50-1,971.75-545.02

Finding the Fourth Proportional to 1,314.50, 1,971.75 and 545.02

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Solution

The fourth proportional to 1,314.50, 1,971.75 and 545.02 is: 817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.50 : 1,971.75 = 545.02 : x
  2. Step 2: Convert to fraction form
    1,314.50/1,971.75 = 545.02/x
  3. Step 3: Cross multiply
    1,314.50x = 1,971.75 × 545.02
  4. Step 4: Simplify right side
    1,314.50x = 1,074,643.19
  5. Step 5: Solve for x
    x = 1,074,643.19/1,314.50
  6. Step 6: Final answer
    x = 817.53

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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.