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Finding the Fourth Proportional to 554.64, 764.28 and 457.08

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Solution

The fourth proportional to 554.64, 764.28 and 457.08 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.64 : 764.28 = 457.08 : x
  2. Step 2: Convert to fraction form
    554.64/764.28 = 457.08/x
  3. Step 3: Cross multiply
    554.64x = 764.28 × 457.08
  4. Step 4: Simplify right side
    554.64x = 349,337.10
  5. Step 5: Solve for x
    x = 349,337.10/554.64
  6. Step 6: Final answer
    x = 629.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.