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Finding the Fourth Proportional to 904.31, 1,356.05 and 417.10

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Solution

The fourth proportional to 904.31, 1,356.05 and 417.10 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.31 : 1,356.05 = 417.10 : x
  2. Step 2: Convert to fraction form
    904.31/1,356.05 = 417.10/x
  3. Step 3: Cross multiply
    904.31x = 1,356.05 × 417.10
  4. Step 4: Simplify right side
    904.31x = 565,606.11
  5. Step 5: Solve for x
    x = 565,606.11/904.31
  6. Step 6: Final answer
    x = 625.45

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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.