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Finding the Fourth Proportional to 1,030.31, 1,422.48 and 676.86

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Solution

The fourth proportional to 1,030.31, 1,422.48 and 676.86 is: 934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.31 : 1,422.48 = 676.86 : x
  2. Step 2: Convert to fraction form
    1,030.31/1,422.48 = 676.86/x
  3. Step 3: Cross multiply
    1,030.31x = 1,422.48 × 676.86
  4. Step 4: Simplify right side
    1,030.31x = 962,813.21
  5. Step 5: Solve for x
    x = 962,813.21/1,030.31
  6. Step 6: Final answer
    x = 934.49

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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.