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Finding the Fourth Proportional to 488.90, 728.14 and 457.76

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Solution

The fourth proportional to 488.90, 728.14 and 457.76 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.90 : 728.14 = 457.76 : x
  2. Step 2: Convert to fraction form
    488.90/728.14 = 457.76/x
  3. Step 3: Cross multiply
    488.90x = 728.14 × 457.76
  4. Step 4: Simplify right side
    488.90x = 333,313.37
  5. Step 5: Solve for x
    x = 333,313.37/488.90
  6. Step 6: Final answer
    x = 681.76

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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.