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Finding the Fourth Proportional to 514.98, 710.54 and 489.42

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Solution

The fourth proportional to 514.98, 710.54 and 489.42 is: 675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.98 : 710.54 = 489.42 : x
  2. Step 2: Convert to fraction form
    514.98/710.54 = 489.42/x
  3. Step 3: Cross multiply
    514.98x = 710.54 × 489.42
  4. Step 4: Simplify right side
    514.98x = 347,752.49
  5. Step 5: Solve for x
    x = 347,752.49/514.98
  6. Step 6: Final answer
    x = 675.27

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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.