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Finding the Fourth Proportional to 769.48, 1,061.23 and 573.46

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Solution

The fourth proportional to 769.48, 1,061.23 and 573.46 is: 790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.48 : 1,061.23 = 573.46 : x
  2. Step 2: Convert to fraction form
    769.48/1,061.23 = 573.46/x
  3. Step 3: Cross multiply
    769.48x = 1,061.23 × 573.46
  4. Step 4: Simplify right side
    769.48x = 608,572.96
  5. Step 5: Solve for x
    x = 608,572.96/769.48
  6. Step 6: Final answer
    x = 790.89

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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.