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Finding the Fourth Proportional to 489.64, 730.74 and 469.79

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Solution

The fourth proportional to 489.64, 730.74 and 469.79 is: 701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 730.74 = 469.79 : x
  2. Step 2: Convert to fraction form
    489.64/730.74 = 469.79/x
  3. Step 3: Cross multiply
    489.64x = 730.74 × 469.79
  4. Step 4: Simplify right side
    489.64x = 343,294.34
  5. Step 5: Solve for x
    x = 343,294.34/489.64
  6. Step 6: Final answer
    x = 701.12

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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.