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Finding the Fourth Proportional to 489.84, 739.14 and 469.86

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Solution

The fourth proportional to 489.84, 739.14 and 469.86 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 739.14 = 469.86 : x
  2. Step 2: Convert to fraction form
    489.84/739.14 = 469.86/x
  3. Step 3: Cross multiply
    489.84x = 739.14 × 469.86
  4. Step 4: Simplify right side
    489.84x = 347,292.32
  5. Step 5: Solve for x
    x = 347,292.32/489.84
  6. Step 6: Final answer
    x = 708.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.