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Finding the Fourth Proportional to 1,030.99, 1,422.75 and 588.89

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Solution

The fourth proportional to 1,030.99, 1,422.75 and 588.89 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.99 : 1,422.75 = 588.89 : x
  2. Step 2: Convert to fraction form
    1,030.99/1,422.75 = 588.89/x
  3. Step 3: Cross multiply
    1,030.99x = 1,422.75 × 588.89
  4. Step 4: Simplify right side
    1,030.99x = 837,836.13
  5. Step 5: Solve for x
    x = 837,836.13/1,030.99
  6. Step 6: Final answer
    x = 812.65

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1.5x scale

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.