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Finding the Fourth Proportional to 1,295.83, 1,787.29 and 875.98

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Solution

The fourth proportional to 1,295.83, 1,787.29 and 875.98 is: 1,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.83 : 1,787.29 = 875.98 : x
  2. Step 2: Convert to fraction form
    1,295.83/1,787.29 = 875.98/x
  3. Step 3: Cross multiply
    1,295.83x = 1,787.29 × 875.98
  4. Step 4: Simplify right side
    1,295.83x = 1,565,630.29
  5. Step 5: Solve for x
    x = 1,565,630.29/1,295.83
  6. Step 6: Final answer
    x = 1,208.21

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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.