Home / 1,020.18-1,530.40-370.82

Finding the Fourth Proportional to 1,020.18, 1,530.40 and 370.82

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Solution

The fourth proportional to 1,020.18, 1,530.40 and 370.82 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.18 : 1,530.40 = 370.82 : x
  2. Step 2: Convert to fraction form
    1,020.18/1,530.40 = 370.82/x
  3. Step 3: Cross multiply
    1,020.18x = 1,530.40 × 370.82
  4. Step 4: Simplify right side
    1,020.18x = 567,502.93
  5. Step 5: Solve for x
    x = 567,502.93/1,020.18
  6. Step 6: Final answer
    x = 556.28

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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.