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Finding the Fourth Proportional to 488.24, 727.18 and 463.28

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Solution

The fourth proportional to 488.24, 727.18 and 463.28 is: 690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 727.18 = 463.28 : x
  2. Step 2: Convert to fraction form
    488.24/727.18 = 463.28/x
  3. Step 3: Cross multiply
    488.24x = 727.18 × 463.28
  4. Step 4: Simplify right side
    488.24x = 336,887.95
  5. Step 5: Solve for x
    x = 336,887.95/488.24
  6. Step 6: Final answer
    x = 690.00

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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.