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Finding the Fourth Proportional to 839.45, 1,260.32 and 578.81

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Solution

The fourth proportional to 839.45, 1,260.32 and 578.81 is: 869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.45 : 1,260.32 = 578.81 : x
  2. Step 2: Convert to fraction form
    839.45/1,260.32 = 578.81/x
  3. Step 3: Cross multiply
    839.45x = 1,260.32 × 578.81
  4. Step 4: Simplify right side
    839.45x = 729,482.24
  5. Step 5: Solve for x
    x = 729,482.24/839.45
  6. Step 6: Final answer
    x = 869.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.