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Finding the Fourth Proportional to 644.66, 890.77 and 514.74

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Solution

The fourth proportional to 644.66, 890.77 and 514.74 is: 711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.66 : 890.77 = 514.74 : x
  2. Step 2: Convert to fraction form
    644.66/890.77 = 514.74/x
  3. Step 3: Cross multiply
    644.66x = 890.77 × 514.74
  4. Step 4: Simplify right side
    644.66x = 458,514.95
  5. Step 5: Solve for x
    x = 458,514.95/644.66
  6. Step 6: Final answer
    x = 711.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.