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Finding the Fourth Proportional to 1,065.43, 1,470.10 and 623.32

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Solution

The fourth proportional to 1,065.43, 1,470.10 and 623.32 is: 860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.43 : 1,470.10 = 623.32 : x
  2. Step 2: Convert to fraction form
    1,065.43/1,470.10 = 623.32/x
  3. Step 3: Cross multiply
    1,065.43x = 1,470.10 × 623.32
  4. Step 4: Simplify right side
    1,065.43x = 916,342.73
  5. Step 5: Solve for x
    x = 916,342.73/1,065.43
  6. Step 6: Final answer
    x = 860.07

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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.