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Finding the Fourth Proportional to 1,232.40, 1,848.60 and 649.20

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Solution

The fourth proportional to 1,232.40, 1,848.60 and 649.20 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.40 : 1,848.60 = 649.20 : x
  2. Step 2: Convert to fraction form
    1,232.40/1,848.60 = 649.20/x
  3. Step 3: Cross multiply
    1,232.40x = 1,848.60 × 649.20
  4. Step 4: Simplify right side
    1,232.40x = 1,200,111.12
  5. Step 5: Solve for x
    x = 1,200,111.12/1,232.40
  6. Step 6: Final answer
    x = 973.80

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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.