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Finding the Fourth Proportional to 642.99, 959.55 and 573.78

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Solution

The fourth proportional to 642.99, 959.55 and 573.78 is: 856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.99 : 959.55 = 573.78 : x
  2. Step 2: Convert to fraction form
    642.99/959.55 = 573.78/x
  3. Step 3: Cross multiply
    642.99x = 959.55 × 573.78
  4. Step 4: Simplify right side
    642.99x = 550,564.37
  5. Step 5: Solve for x
    x = 550,564.37/642.99
  6. Step 6: Final answer
    x = 856.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.