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Finding the Fourth Proportional to 1,395.43, 1,925.70 and 766.01

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Solution

The fourth proportional to 1,395.43, 1,925.70 and 766.01 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.43 : 1,925.70 = 766.01 : x
  2. Step 2: Convert to fraction form
    1,395.43/1,925.70 = 766.01/x
  3. Step 3: Cross multiply
    1,395.43x = 1,925.70 × 766.01
  4. Step 4: Simplify right side
    1,395.43x = 1,475,101.63
  5. Step 5: Solve for x
    x = 1,475,101.63/1,395.43
  6. Step 6: Final answer
    x = 1,057.09

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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.