Home / 1,030.75-1,422.20-657.50

Finding the Fourth Proportional to 1,030.75, 1,422.20 and 657.50

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Solution

The fourth proportional to 1,030.75, 1,422.20 and 657.50 is: 907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.75 : 1,422.20 = 657.50 : x
  2. Step 2: Convert to fraction form
    1,030.75/1,422.20 = 657.50/x
  3. Step 3: Cross multiply
    1,030.75x = 1,422.20 × 657.50
  4. Step 4: Simplify right side
    1,030.75x = 935,091.03
  5. Step 5: Solve for x
    x = 935,091.03/1,030.75
  6. Step 6: Final answer
    x = 907.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.