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Finding the Fourth Proportional to 904.13, 1,355.20 and 459.73

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Solution

The fourth proportional to 904.13, 1,355.20 and 459.73 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,355.20 = 459.73 : x
  2. Step 2: Convert to fraction form
    904.13/1,355.20 = 459.73/x
  3. Step 3: Cross multiply
    904.13x = 1,355.20 × 459.73
  4. Step 4: Simplify right side
    904.13x = 623,019.99
  5. Step 5: Solve for x
    x = 623,019.99/904.13
  6. Step 6: Final answer
    x = 689.08

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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.