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Finding the Fourth Proportional to 1,298.48, 1,955.80 and 1,208.32

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Solution

The fourth proportional to 1,298.48, 1,955.80 and 1,208.32 is: 1,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.48 : 1,955.80 = 1,208.32 : x
  2. Step 2: Convert to fraction form
    1,298.48/1,955.80 = 1,208.32/x
  3. Step 3: Cross multiply
    1,298.48x = 1,955.80 × 1,208.32
  4. Step 4: Simplify right side
    1,298.48x = 2,363,232.26
  5. Step 5: Solve for x
    x = 2,363,232.26/1,298.48
  6. Step 6: Final answer
    x = 1,820.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.