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Finding the Fourth Proportional to 486.64, 728.89 and 349.95

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Solution

The fourth proportional to 486.64, 728.89 and 349.95 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.64 : 728.89 = 349.95 : x
  2. Step 2: Convert to fraction form
    486.64/728.89 = 349.95/x
  3. Step 3: Cross multiply
    486.64x = 728.89 × 349.95
  4. Step 4: Simplify right side
    486.64x = 255,075.06
  5. Step 5: Solve for x
    x = 255,075.06/486.64
  6. Step 6: Final answer
    x = 524.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.