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Finding the Fourth Proportional to 1,065.02, 1,470.02 and 645.39

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Solution

The fourth proportional to 1,065.02, 1,470.02 and 645.39 is: 890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.02 : 1,470.02 = 645.39 : x
  2. Step 2: Convert to fraction form
    1,065.02/1,470.02 = 645.39/x
  3. Step 3: Cross multiply
    1,065.02x = 1,470.02 × 645.39
  4. Step 4: Simplify right side
    1,065.02x = 948,738.48
  5. Step 5: Solve for x
    x = 948,738.48/1,065.02
  6. Step 6: Final answer
    x = 890.81

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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.