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Finding the Fourth Proportional to 419.04, 631.80 and 383.04

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Solution

The fourth proportional to 419.04, 631.80 and 383.04 is: 577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 631.80 = 383.04 : x
  2. Step 2: Convert to fraction form
    419.04/631.80 = 383.04/x
  3. Step 3: Cross multiply
    419.04x = 631.80 × 383.04
  4. Step 4: Simplify right side
    419.04x = 242,004.67
  5. Step 5: Solve for x
    x = 242,004.67/419.04
  6. Step 6: Final answer
    x = 577.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.