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Finding the Fourth Proportional to 1,322.46, 1,985.85 and 553.50

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Solution

The fourth proportional to 1,322.46, 1,985.85 and 553.50 is: 831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.46 : 1,985.85 = 553.50 : x
  2. Step 2: Convert to fraction form
    1,322.46/1,985.85 = 553.50/x
  3. Step 3: Cross multiply
    1,322.46x = 1,985.85 × 553.50
  4. Step 4: Simplify right side
    1,322.46x = 1,099,167.98
  5. Step 5: Solve for x
    x = 1,099,167.98/1,322.46
  6. Step 6: Final answer
    x = 831.15

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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.