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Finding the Fourth Proportional to 1,283.20, 1,925.70 and 553.30

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Solution

The fourth proportional to 1,283.20, 1,925.70 and 553.30 is: 830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,925.70 = 553.30 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,925.70 = 553.30/x
  3. Step 3: Cross multiply
    1,283.20x = 1,925.70 × 553.30
  4. Step 4: Simplify right side
    1,283.20x = 1,065,489.81
  5. Step 5: Solve for x
    x = 1,065,489.81/1,283.20
  6. Step 6: Final answer
    x = 830.34

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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.