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Finding the Fourth Proportional to 624.14, 859.28 and 535.44

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Solution

The fourth proportional to 624.14, 859.28 and 535.44 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.14 : 859.28 = 535.44 : x
  2. Step 2: Convert to fraction form
    624.14/859.28 = 535.44/x
  3. Step 3: Cross multiply
    624.14x = 859.28 × 535.44
  4. Step 4: Simplify right side
    624.14x = 460,090.21
  5. Step 5: Solve for x
    x = 460,090.21/624.14
  6. Step 6: Final answer
    x = 737.16

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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.