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Finding the Fourth Proportional to 1,030.99, 1,422.86 and 588.95

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Solution

The fourth proportional to 1,030.99, 1,422.86 and 588.95 is: 812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.99 : 1,422.86 = 588.95 : x
  2. Step 2: Convert to fraction form
    1,030.99/1,422.86 = 588.95/x
  3. Step 3: Cross multiply
    1,030.99x = 1,422.86 × 588.95
  4. Step 4: Simplify right side
    1,030.99x = 837,998.43
  5. Step 5: Solve for x
    x = 837,998.43/1,030.99
  6. Step 6: Final answer
    x = 812.81

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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.