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Finding the Fourth Proportional to 1,030.90, 1,422.53 and 588.71

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Solution

The fourth proportional to 1,030.90, 1,422.53 and 588.71 is: 812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.90 : 1,422.53 = 588.71 : x
  2. Step 2: Convert to fraction form
    1,030.90/1,422.53 = 588.71/x
  3. Step 3: Cross multiply
    1,030.90x = 1,422.53 × 588.71
  4. Step 4: Simplify right side
    1,030.90x = 837,458.25
  5. Step 5: Solve for x
    x = 837,458.25/1,030.90
  6. Step 6: Final answer
    x = 812.36

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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.