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Finding the Fourth Proportional to 839.63, 1,158.81 and 578.00

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Solution

The fourth proportional to 839.63, 1,158.81 and 578.00 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.63 : 1,158.81 = 578.00 : x
  2. Step 2: Convert to fraction form
    839.63/1,158.81 = 578.00/x
  3. Step 3: Cross multiply
    839.63x = 1,158.81 × 578.00
  4. Step 4: Simplify right side
    839.63x = 669,792.91
  5. Step 5: Solve for x
    x = 669,792.91/839.63
  6. Step 6: Final answer
    x = 797.72

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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.