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Finding the Fourth Proportional to 1,657.32, 2,487.42 and 877.88

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Solution

The fourth proportional to 1,657.32, 2,487.42 and 877.88 is: 1,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.32 : 2,487.42 = 877.88 : x
  2. Step 2: Convert to fraction form
    1,657.32/2,487.42 = 877.88/x
  3. Step 3: Cross multiply
    1,657.32x = 2,487.42 × 877.88
  4. Step 4: Simplify right side
    1,657.32x = 2,183,639.44
  5. Step 5: Solve for x
    x = 2,183,639.44/1,657.32
  6. Step 6: Final answer
    x = 1,317.58

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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.