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Finding the Fourth Proportional to 1,017.20, 1,525.56 and 333.20

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Solution

The fourth proportional to 1,017.20, 1,525.56 and 333.20 is: 499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.20 : 1,525.56 = 333.20 : x
  2. Step 2: Convert to fraction form
    1,017.20/1,525.56 = 333.20/x
  3. Step 3: Cross multiply
    1,017.20x = 1,525.56 × 333.20
  4. Step 4: Simplify right side
    1,017.20x = 508,316.59
  5. Step 5: Solve for x
    x = 508,316.59/1,017.20
  6. Step 6: Final answer
    x = 499.72

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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.