Home / 1,020.03-1,530.28-289.59

Finding the Fourth Proportional to 1,020.03, 1,530.28 and 289.59

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Solution

The fourth proportional to 1,020.03, 1,530.28 and 289.59 is: 434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.03 : 1,530.28 = 289.59 : x
  2. Step 2: Convert to fraction form
    1,020.03/1,530.28 = 289.59/x
  3. Step 3: Cross multiply
    1,020.03x = 1,530.28 × 289.59
  4. Step 4: Simplify right side
    1,020.03x = 443,148.41
  5. Step 5: Solve for x
    x = 443,148.41/1,020.03
  6. Step 6: Final answer
    x = 434.45

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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.