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Finding the Fourth Proportional to 864.42, 1,299.12 and 719.07

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Solution

The fourth proportional to 864.42, 1,299.12 and 719.07 is: 1,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,299.12 = 719.07 : x
  2. Step 2: Convert to fraction form
    864.42/1,299.12 = 719.07/x
  3. Step 3: Cross multiply
    864.42x = 1,299.12 × 719.07
  4. Step 4: Simplify right side
    864.42x = 934,158.22
  5. Step 5: Solve for x
    x = 934,158.22/864.42
  6. Step 6: Final answer
    x = 1,080.68

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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.