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Finding the Fourth Proportional to 1,321.92, 1,983.53 and 542.16

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Solution

The fourth proportional to 1,321.92, 1,983.53 and 542.16 is: 813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.92 : 1,983.53 = 542.16 : x
  2. Step 2: Convert to fraction form
    1,321.92/1,983.53 = 542.16/x
  3. Step 3: Cross multiply
    1,321.92x = 1,983.53 × 542.16
  4. Step 4: Simplify right side
    1,321.92x = 1,075,379.80
  5. Step 5: Solve for x
    x = 1,075,379.80/1,321.92
  6. Step 6: Final answer
    x = 813.50

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1.5x scale

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.