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Finding the Fourth Proportional to 647.19, 965.79 and 577.98

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Solution

The fourth proportional to 647.19, 965.79 and 577.98 is: 862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.19 : 965.79 = 577.98 : x
  2. Step 2: Convert to fraction form
    647.19/965.79 = 577.98/x
  3. Step 3: Cross multiply
    647.19x = 965.79 × 577.98
  4. Step 4: Simplify right side
    647.19x = 558,207.30
  5. Step 5: Solve for x
    x = 558,207.30/647.19
  6. Step 6: Final answer
    x = 862.51

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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.