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Finding the Fourth Proportional to 647.04, 965.59 and 577.84

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Solution

The fourth proportional to 647.04, 965.59 and 577.84 is: 862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 965.59 = 577.84 : x
  2. Step 2: Convert to fraction form
    647.04/965.59 = 577.84/x
  3. Step 3: Cross multiply
    647.04x = 965.59 × 577.84
  4. Step 4: Simplify right side
    647.04x = 557,960.38
  5. Step 5: Solve for x
    x = 557,960.38/647.04
  6. Step 6: Final answer
    x = 862.32

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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.