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Finding the Fourth Proportional to 756.99, 1,044.70 and 462.42

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Solution

The fourth proportional to 756.99, 1,044.70 and 462.42 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.99 : 1,044.70 = 462.42 : x
  2. Step 2: Convert to fraction form
    756.99/1,044.70 = 462.42/x
  3. Step 3: Cross multiply
    756.99x = 1,044.70 × 462.42
  4. Step 4: Simplify right side
    756.99x = 483,089.02
  5. Step 5: Solve for x
    x = 483,089.02/756.99
  6. Step 6: Final answer
    x = 638.17

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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.