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Finding the Fourth Proportional to 647.91, 889.25 and 598.59

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Solution

The fourth proportional to 647.91, 889.25 and 598.59 is: 821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.91 : 889.25 = 598.59 : x
  2. Step 2: Convert to fraction form
    647.91/889.25 = 598.59/x
  3. Step 3: Cross multiply
    647.91x = 889.25 × 598.59
  4. Step 4: Simplify right side
    647.91x = 532,293.16
  5. Step 5: Solve for x
    x = 532,293.16/647.91
  6. Step 6: Final answer
    x = 821.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.