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Finding the Fourth Proportional to 1,026.55, 1,418.06 and 696.40

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Solution

The fourth proportional to 1,026.55, 1,418.06 and 696.40 is: 962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.55 : 1,418.06 = 696.40 : x
  2. Step 2: Convert to fraction form
    1,026.55/1,418.06 = 696.40/x
  3. Step 3: Cross multiply
    1,026.55x = 1,418.06 × 696.40
  4. Step 4: Simplify right side
    1,026.55x = 987,536.98
  5. Step 5: Solve for x
    x = 987,536.98/1,026.55
  6. Step 6: Final answer
    x = 962.00

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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.