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Finding the Fourth Proportional to 647.48, 965.85 and 585.92

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Solution

The fourth proportional to 647.48, 965.85 and 585.92 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.48 : 965.85 = 585.92 : x
  2. Step 2: Convert to fraction form
    647.48/965.85 = 585.92/x
  3. Step 3: Cross multiply
    647.48x = 965.85 × 585.92
  4. Step 4: Simplify right side
    647.48x = 565,910.83
  5. Step 5: Solve for x
    x = 565,910.83/647.48
  6. Step 6: Final answer
    x = 874.02

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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.