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Finding the Fourth Proportional to 1,102.80, 1,646.16 and 1,029.84

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Solution

The fourth proportional to 1,102.80, 1,646.16 and 1,029.84 is: 1,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.80 : 1,646.16 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    1,102.80/1,646.16 = 1,029.84/x
  3. Step 3: Cross multiply
    1,102.80x = 1,646.16 × 1,029.84
  4. Step 4: Simplify right side
    1,102.80x = 1,695,281.41
  5. Step 5: Solve for x
    x = 1,695,281.41/1,102.80
  6. Step 6: Final answer
    x = 1,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.