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Finding the Fourth Proportional to 904.31, 1,355.51 and 417.50

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Solution

The fourth proportional to 904.31, 1,355.51 and 417.50 is: 625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.31 : 1,355.51 = 417.50 : x
  2. Step 2: Convert to fraction form
    904.31/1,355.51 = 417.50/x
  3. Step 3: Cross multiply
    904.31x = 1,355.51 × 417.50
  4. Step 4: Simplify right side
    904.31x = 565,919.69
  5. Step 5: Solve for x
    x = 565,919.69/904.31
  6. Step 6: Final answer
    x = 625.81

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1.5x scale

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.