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Finding the Fourth Proportional to 904.05, 1,356.53 and 416.53

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Solution

The fourth proportional to 904.05, 1,356.53 and 416.53 is: 625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.05 : 1,356.53 = 416.53 : x
  2. Step 2: Convert to fraction form
    904.05/1,356.53 = 416.53/x
  3. Step 3: Cross multiply
    904.05x = 1,356.53 × 416.53
  4. Step 4: Simplify right side
    904.05x = 565,035.44
  5. Step 5: Solve for x
    x = 565,035.44/904.05
  6. Step 6: Final answer
    x = 625.00

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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.