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Finding the Fourth Proportional to 1,215.60, 1,678.80 and 955.52

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Solution

The fourth proportional to 1,215.60, 1,678.80 and 955.52 is: 1,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.60 : 1,678.80 = 955.52 : x
  2. Step 2: Convert to fraction form
    1,215.60/1,678.80 = 955.52/x
  3. Step 3: Cross multiply
    1,215.60x = 1,678.80 × 955.52
  4. Step 4: Simplify right side
    1,215.60x = 1,604,126.98
  5. Step 5: Solve for x
    x = 1,604,126.98/1,215.60
  6. Step 6: Final answer
    x = 1,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.