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Finding the Fourth Proportional to 904.95, 1,356.39 and 417.02

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Solution

The fourth proportional to 904.95, 1,356.39 and 417.02 is: 625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.95 : 1,356.39 = 417.02 : x
  2. Step 2: Convert to fraction form
    904.95/1,356.39 = 417.02/x
  3. Step 3: Cross multiply
    904.95x = 1,356.39 × 417.02
  4. Step 4: Simplify right side
    904.95x = 565,634.98
  5. Step 5: Solve for x
    x = 565,634.98/904.95
  6. Step 6: Final answer
    x = 625.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.