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Finding the Fourth Proportional to 1,068.60, 1,603.14 and 419.64

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Solution

The fourth proportional to 1,068.60, 1,603.14 and 419.64 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.60 : 1,603.14 = 419.64 : x
  2. Step 2: Convert to fraction form
    1,068.60/1,603.14 = 419.64/x
  3. Step 3: Cross multiply
    1,068.60x = 1,603.14 × 419.64
  4. Step 4: Simplify right side
    1,068.60x = 672,741.67
  5. Step 5: Solve for x
    x = 672,741.67/1,068.60
  6. Step 6: Final answer
    x = 629.55

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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.