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Finding the Fourth Proportional to 860.32, 1,287.80 and 599.00

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Solution

The fourth proportional to 860.32, 1,287.80 and 599.00 is: 896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.32 : 1,287.80 = 599.00 : x
  2. Step 2: Convert to fraction form
    860.32/1,287.80 = 599.00/x
  3. Step 3: Cross multiply
    860.32x = 1,287.80 × 599.00
  4. Step 4: Simplify right side
    860.32x = 771,385.01
  5. Step 5: Solve for x
    x = 771,385.01/860.32
  6. Step 6: Final answer
    x = 896.62

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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.