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Finding the Fourth Proportional to 431.74, 646.01 and 258.53

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Solution

The fourth proportional to 431.74, 646.01 and 258.53 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 646.01 = 258.53 : x
  2. Step 2: Convert to fraction form
    431.74/646.01 = 258.53/x
  3. Step 3: Cross multiply
    431.74x = 646.01 × 258.53
  4. Step 4: Simplify right side
    431.74x = 167,009.41
  5. Step 5: Solve for x
    x = 167,009.41/431.74
  6. Step 6: Final answer
    x = 386.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.