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Finding the Fourth Proportional to 420.48, 631.08 and 328.92

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Solution

The fourth proportional to 420.48, 631.08 and 328.92 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 631.08 = 328.92 : x
  2. Step 2: Convert to fraction form
    420.48/631.08 = 328.92/x
  3. Step 3: Cross multiply
    420.48x = 631.08 × 328.92
  4. Step 4: Simplify right side
    420.48x = 207,574.83
  5. Step 5: Solve for x
    x = 207,574.83/420.48
  6. Step 6: Final answer
    x = 493.66

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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.