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Finding the Fourth Proportional to 1,102.54, 1,653.65 and 322.34

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Solution

The fourth proportional to 1,102.54, 1,653.65 and 322.34 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.54 : 1,653.65 = 322.34 : x
  2. Step 2: Convert to fraction form
    1,102.54/1,653.65 = 322.34/x
  3. Step 3: Cross multiply
    1,102.54x = 1,653.65 × 322.34
  4. Step 4: Simplify right side
    1,102.54x = 533,029.27
  5. Step 5: Solve for x
    x = 533,029.27/1,102.54
  6. Step 6: Final answer
    x = 483.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.