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Finding the Fourth Proportional to 1,253.76, 1,878.40 and 568.32

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Solution

The fourth proportional to 1,253.76, 1,878.40 and 568.32 is: 851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.76 : 1,878.40 = 568.32 : x
  2. Step 2: Convert to fraction form
    1,253.76/1,878.40 = 568.32/x
  3. Step 3: Cross multiply
    1,253.76x = 1,878.40 × 568.32
  4. Step 4: Simplify right side
    1,253.76x = 1,067,532.29
  5. Step 5: Solve for x
    x = 1,067,532.29/1,253.76
  6. Step 6: Final answer
    x = 851.46

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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.