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Finding the Fourth Proportional to 457.94, 681.72 and 455.51

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Solution

The fourth proportional to 457.94, 681.72 and 455.51 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.94 : 681.72 = 455.51 : x
  2. Step 2: Convert to fraction form
    457.94/681.72 = 455.51/x
  3. Step 3: Cross multiply
    457.94x = 681.72 × 455.51
  4. Step 4: Simplify right side
    457.94x = 310,526.87
  5. Step 5: Solve for x
    x = 310,526.87/457.94
  6. Step 6: Final answer
    x = 678.10

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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.