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Finding the Fourth Proportional to 1,029.39, 1,420.38 and 587.28

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Solution

The fourth proportional to 1,029.39, 1,420.38 and 587.28 is: 810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.39 : 1,420.38 = 587.28 : x
  2. Step 2: Convert to fraction form
    1,029.39/1,420.38 = 587.28/x
  3. Step 3: Cross multiply
    1,029.39x = 1,420.38 × 587.28
  4. Step 4: Simplify right side
    1,029.39x = 834,160.77
  5. Step 5: Solve for x
    x = 834,160.77/1,029.39
  6. Step 6: Final answer
    x = 810.34

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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.