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Finding the Fourth Proportional to 906.48, 1,360.17 and 419.88

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Solution

The fourth proportional to 906.48, 1,360.17 and 419.88 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.48 : 1,360.17 = 419.88 : x
  2. Step 2: Convert to fraction form
    906.48/1,360.17 = 419.88/x
  3. Step 3: Cross multiply
    906.48x = 1,360.17 × 419.88
  4. Step 4: Simplify right side
    906.48x = 571,108.18
  5. Step 5: Solve for x
    x = 571,108.18/906.48
  6. Step 6: Final answer
    x = 630.03

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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.