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Finding the Fourth Proportional to 1,065.33, 1,470.12 and 623.49

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Solution

The fourth proportional to 1,065.33, 1,470.12 and 623.49 is: 860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.33 : 1,470.12 = 623.49 : x
  2. Step 2: Convert to fraction form
    1,065.33/1,470.12 = 623.49/x
  3. Step 3: Cross multiply
    1,065.33x = 1,470.12 × 623.49
  4. Step 4: Simplify right side
    1,065.33x = 916,605.12
  5. Step 5: Solve for x
    x = 916,605.12/1,065.33
  6. Step 6: Final answer
    x = 860.40

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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.