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Finding the Fourth Proportional to 1,102.48, 1,653.70 and 930.25

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Solution

The fourth proportional to 1,102.48, 1,653.70 and 930.25 is: 1,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.48 : 1,653.70 = 930.25 : x
  2. Step 2: Convert to fraction form
    1,102.48/1,653.70 = 930.25/x
  3. Step 3: Cross multiply
    1,102.48x = 1,653.70 × 930.25
  4. Step 4: Simplify right side
    1,102.48x = 1,538,354.43
  5. Step 5: Solve for x
    x = 1,538,354.43/1,102.48
  6. Step 6: Final answer
    x = 1,395.36

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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.