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Finding the Fourth Proportional to 904.75, 1,356.05 and 416.77

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Solution

The fourth proportional to 904.75, 1,356.05 and 416.77 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.75 : 1,356.05 = 416.77 : x
  2. Step 2: Convert to fraction form
    904.75/1,356.05 = 416.77/x
  3. Step 3: Cross multiply
    904.75x = 1,356.05 × 416.77
  4. Step 4: Simplify right side
    904.75x = 565,158.61
  5. Step 5: Solve for x
    x = 565,158.61/904.75
  6. Step 6: Final answer
    x = 624.66

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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.