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Finding the Fourth Proportional to 662.54, 913.16 and 573.86

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Solution

The fourth proportional to 662.54, 913.16 and 573.86 is: 790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.54 : 913.16 = 573.86 : x
  2. Step 2: Convert to fraction form
    662.54/913.16 = 573.86/x
  3. Step 3: Cross multiply
    662.54x = 913.16 × 573.86
  4. Step 4: Simplify right side
    662.54x = 524,026.00
  5. Step 5: Solve for x
    x = 524,026.00/662.54
  6. Step 6: Final answer
    x = 790.93

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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.