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Finding the Fourth Proportional to 433.51, 646.83 and 407.25

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Solution

The fourth proportional to 433.51, 646.83 and 407.25 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.51 : 646.83 = 407.25 : x
  2. Step 2: Convert to fraction form
    433.51/646.83 = 407.25/x
  3. Step 3: Cross multiply
    433.51x = 646.83 × 407.25
  4. Step 4: Simplify right side
    433.51x = 263,421.52
  5. Step 5: Solve for x
    x = 263,421.52/433.51
  6. Step 6: Final answer
    x = 607.65

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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.