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Finding the Fourth Proportional to 708.22, 1,061.45 and 513.89

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Solution

The fourth proportional to 708.22, 1,061.45 and 513.89 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 1,061.45 = 513.89 : x
  2. Step 2: Convert to fraction form
    708.22/1,061.45 = 513.89/x
  3. Step 3: Cross multiply
    708.22x = 1,061.45 × 513.89
  4. Step 4: Simplify right side
    708.22x = 545,463.23
  5. Step 5: Solve for x
    x = 545,463.23/708.22
  6. Step 6: Final answer
    x = 770.19

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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.