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Finding the Fourth Proportional to 489.09, 737.31 and 457.77

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Solution

The fourth proportional to 489.09, 737.31 and 457.77 is: 690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.09 : 737.31 = 457.77 : x
  2. Step 2: Convert to fraction form
    489.09/737.31 = 457.77/x
  3. Step 3: Cross multiply
    489.09x = 737.31 × 457.77
  4. Step 4: Simplify right side
    489.09x = 337,518.40
  5. Step 5: Solve for x
    x = 337,518.40/489.09
  6. Step 6: Final answer
    x = 690.09

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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.