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Finding the Fourth Proportional to 482.32, 718.89 and 454.98

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Solution

The fourth proportional to 482.32, 718.89 and 454.98 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 718.89 = 454.98 : x
  2. Step 2: Convert to fraction form
    482.32/718.89 = 454.98/x
  3. Step 3: Cross multiply
    482.32x = 718.89 × 454.98
  4. Step 4: Simplify right side
    482.32x = 327,080.57
  5. Step 5: Solve for x
    x = 327,080.57/482.32
  6. Step 6: Final answer
    x = 678.14

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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.