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Finding the Fourth Proportional to 1,257.53, 1,886.36 and 564.03

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Solution

The fourth proportional to 1,257.53, 1,886.36 and 564.03 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.53 : 1,886.36 = 564.03 : x
  2. Step 2: Convert to fraction form
    1,257.53/1,886.36 = 564.03/x
  3. Step 3: Cross multiply
    1,257.53x = 1,886.36 × 564.03
  4. Step 4: Simplify right side
    1,257.53x = 1,063,960.81
  5. Step 5: Solve for x
    x = 1,063,960.81/1,257.53
  6. Step 6: Final answer
    x = 846.08

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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.