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Finding the Fourth Proportional to 488.16, 726.96 and 467.10

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Solution

The fourth proportional to 488.16, 726.96 and 467.10 is: 695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 726.96 = 467.10 : x
  2. Step 2: Convert to fraction form
    488.16/726.96 = 467.10/x
  3. Step 3: Cross multiply
    488.16x = 726.96 × 467.10
  4. Step 4: Simplify right side
    488.16x = 339,563.02
  5. Step 5: Solve for x
    x = 339,563.02/488.16
  6. Step 6: Final answer
    x = 695.60

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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.