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Finding the Fourth Proportional to 1,395.25, 1,925.45 and 765.84

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Solution

The fourth proportional to 1,395.25, 1,925.45 and 765.84 is: 1,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.25 : 1,925.45 = 765.84 : x
  2. Step 2: Convert to fraction form
    1,395.25/1,925.45 = 765.84/x
  3. Step 3: Cross multiply
    1,395.25x = 1,925.45 × 765.84
  4. Step 4: Simplify right side
    1,395.25x = 1,474,586.63
  5. Step 5: Solve for x
    x = 1,474,586.63/1,395.25
  6. Step 6: Final answer
    x = 1,056.86

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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.