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Finding the Fourth Proportional to 864.42, 1,193.04 and 515.22

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Solution

The fourth proportional to 864.42, 1,193.04 and 515.22 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,193.04 = 515.22 : x
  2. Step 2: Convert to fraction form
    864.42/1,193.04 = 515.22/x
  3. Step 3: Cross multiply
    864.42x = 1,193.04 × 515.22
  4. Step 4: Simplify right side
    864.42x = 614,678.07
  5. Step 5: Solve for x
    x = 614,678.07/864.42
  6. Step 6: Final answer
    x = 711.09

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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.