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Finding the Fourth Proportional to 469.02, 645.66 and 403.14

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Solution

The fourth proportional to 469.02, 645.66 and 403.14 is: 554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 645.66 = 403.14 : x
  2. Step 2: Convert to fraction form
    469.02/645.66 = 403.14/x
  3. Step 3: Cross multiply
    469.02x = 645.66 × 403.14
  4. Step 4: Simplify right side
    469.02x = 260,291.37
  5. Step 5: Solve for x
    x = 260,291.37/469.02
  6. Step 6: Final answer
    x = 554.97

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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.