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Finding the Fourth Proportional to 624.81, 862.47 and 404.36

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Solution

The fourth proportional to 624.81, 862.47 and 404.36 is: 558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.81 : 862.47 = 404.36 : x
  2. Step 2: Convert to fraction form
    624.81/862.47 = 404.36/x
  3. Step 3: Cross multiply
    624.81x = 862.47 × 404.36
  4. Step 4: Simplify right side
    624.81x = 348,742.04
  5. Step 5: Solve for x
    x = 348,742.04/624.81
  6. Step 6: Final answer
    x = 558.16

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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.