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Finding the Fourth Proportional to 708.54, 977.28 and 488.03

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Solution

The fourth proportional to 708.54, 977.28 and 488.03 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 977.28 = 488.03 : x
  2. Step 2: Convert to fraction form
    708.54/977.28 = 488.03/x
  3. Step 3: Cross multiply
    708.54x = 977.28 × 488.03
  4. Step 4: Simplify right side
    708.54x = 476,937.07
  5. Step 5: Solve for x
    x = 476,937.07/708.54
  6. Step 6: Final answer
    x = 673.13

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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.