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Finding the Fourth Proportional to 564.51, 777.33 and 517.74

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Solution

The fourth proportional to 564.51, 777.33 and 517.74 is: 712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 777.33 = 517.74 : x
  2. Step 2: Convert to fraction form
    564.51/777.33 = 517.74/x
  3. Step 3: Cross multiply
    564.51x = 777.33 × 517.74
  4. Step 4: Simplify right side
    564.51x = 402,454.83
  5. Step 5: Solve for x
    x = 402,454.83/564.51
  6. Step 6: Final answer
    x = 712.93

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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.