Home / 1,020.84-1,530.20-581.56

Finding the Fourth Proportional to 1,020.84, 1,530.20 and 581.56

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Solution

The fourth proportional to 1,020.84, 1,530.20 and 581.56 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,530.20 = 581.56 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,530.20 = 581.56/x
  3. Step 3: Cross multiply
    1,020.84x = 1,530.20 × 581.56
  4. Step 4: Simplify right side
    1,020.84x = 889,903.11
  5. Step 5: Solve for x
    x = 889,903.11/1,020.84
  6. Step 6: Final answer
    x = 871.74

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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.