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Finding the Fourth Proportional to 1,295.12, 1,787.28 and 705.68

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Solution

The fourth proportional to 1,295.12, 1,787.28 and 705.68 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.12 : 1,787.28 = 705.68 : x
  2. Step 2: Convert to fraction form
    1,295.12/1,787.28 = 705.68/x
  3. Step 3: Cross multiply
    1,295.12x = 1,787.28 × 705.68
  4. Step 4: Simplify right side
    1,295.12x = 1,261,247.75
  5. Step 5: Solve for x
    x = 1,261,247.75/1,295.12
  6. Step 6: Final answer
    x = 973.85

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1.5x scale

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.