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Finding the Fourth Proportional to 1,012.80, 1,398.24 and 698.52

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Solution

The fourth proportional to 1,012.80, 1,398.24 and 698.52 is: 964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.80 : 1,398.24 = 698.52 : x
  2. Step 2: Convert to fraction form
    1,012.80/1,398.24 = 698.52/x
  3. Step 3: Cross multiply
    1,012.80x = 1,398.24 × 698.52
  4. Step 4: Simplify right side
    1,012.80x = 976,698.60
  5. Step 5: Solve for x
    x = 976,698.60/1,012.80
  6. Step 6: Final answer
    x = 964.35

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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.