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Finding the Fourth Proportional to 577.51, 795.63 and 546.73

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Solution

The fourth proportional to 577.51, 795.63 and 546.73 is: 753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.51 : 795.63 = 546.73 : x
  2. Step 2: Convert to fraction form
    577.51/795.63 = 546.73/x
  3. Step 3: Cross multiply
    577.51x = 795.63 × 546.73
  4. Step 4: Simplify right side
    577.51x = 434,994.79
  5. Step 5: Solve for x
    x = 434,994.79/577.51
  6. Step 6: Final answer
    x = 753.22

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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.