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Finding the Fourth Proportional to 1,010.22, 1,513.57 and 620.13

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Solution

The fourth proportional to 1,010.22, 1,513.57 and 620.13 is: 929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.22 : 1,513.57 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,010.22/1,513.57 = 620.13/x
  3. Step 3: Cross multiply
    1,010.22x = 1,513.57 × 620.13
  4. Step 4: Simplify right side
    1,010.22x = 938,610.16
  5. Step 5: Solve for x
    x = 938,610.16/1,010.22
  6. Step 6: Final answer
    x = 929.11

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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.