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Finding the Fourth Proportional to 914.60, 1,372.16 and 498.05

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Solution

The fourth proportional to 914.60, 1,372.16 and 498.05 is: 747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.60 : 1,372.16 = 498.05 : x
  2. Step 2: Convert to fraction form
    914.60/1,372.16 = 498.05/x
  3. Step 3: Cross multiply
    914.60x = 1,372.16 × 498.05
  4. Step 4: Simplify right side
    914.60x = 683,403.82
  5. Step 5: Solve for x
    x = 683,403.82/914.60
  6. Step 6: Final answer
    x = 747.21

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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.