Home / 1,020.35-1,530.45-608.19

Finding the Fourth Proportional to 1,020.35, 1,530.45 and 608.19

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Solution

The fourth proportional to 1,020.35, 1,530.45 and 608.19 is: 912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.35 : 1,530.45 = 608.19 : x
  2. Step 2: Convert to fraction form
    1,020.35/1,530.45 = 608.19/x
  3. Step 3: Cross multiply
    1,020.35x = 1,530.45 × 608.19
  4. Step 4: Simplify right side
    1,020.35x = 930,804.39
  5. Step 5: Solve for x
    x = 930,804.39/1,020.35
  6. Step 6: Final answer
    x = 912.24

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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.