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Finding the Fourth Proportional to 647.09, 965.94 and 598.91

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Solution

The fourth proportional to 647.09, 965.94 and 598.91 is: 894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 965.94 = 598.91 : x
  2. Step 2: Convert to fraction form
    647.09/965.94 = 598.91/x
  3. Step 3: Cross multiply
    647.09x = 965.94 × 598.91
  4. Step 4: Simplify right side
    647.09x = 578,512.85
  5. Step 5: Solve for x
    x = 578,512.85/647.09
  6. Step 6: Final answer
    x = 894.02

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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.