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Finding the Fourth Proportional to 1,029.09, 1,420.29 and 655.95

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Solution

The fourth proportional to 1,029.09, 1,420.29 and 655.95 is: 905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.09 : 1,420.29 = 655.95 : x
  2. Step 2: Convert to fraction form
    1,029.09/1,420.29 = 655.95/x
  3. Step 3: Cross multiply
    1,029.09x = 1,420.29 × 655.95
  4. Step 4: Simplify right side
    1,029.09x = 931,639.23
  5. Step 5: Solve for x
    x = 931,639.23/1,029.09
  6. Step 6: Final answer
    x = 905.30

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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.