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Finding the Fourth Proportional to 454, 678.64 and 393.01

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Solution

The fourth proportional to 454, 678.64 and 393.01 is: 587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 678.64 = 393.01 : x
  2. Step 2: Convert to fraction form
    454/678.64 = 393.01/x
  3. Step 3: Cross multiply
    454x = 678.64 × 393.01
  4. Step 4: Simplify right side
    454x = 266,712.31
  5. Step 5: Solve for x
    x = 266,712.31/454
  6. Step 6: Final answer
    x = 587.47

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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.