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Finding the Fourth Proportional to 900.59, 1,351.17 and 468.05

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Solution

The fourth proportional to 900.59, 1,351.17 and 468.05 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.59 : 1,351.17 = 468.05 : x
  2. Step 2: Convert to fraction form
    900.59/1,351.17 = 468.05/x
  3. Step 3: Cross multiply
    900.59x = 1,351.17 × 468.05
  4. Step 4: Simplify right side
    900.59x = 632,408.36
  5. Step 5: Solve for x
    x = 632,408.36/900.59
  6. Step 6: Final answer
    x = 702.22

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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.