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Finding the Fourth Proportional to 904.83, 1,248.42 and 531.81

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Solution

The fourth proportional to 904.83, 1,248.42 and 531.81 is: 733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.83 : 1,248.42 = 531.81 : x
  2. Step 2: Convert to fraction form
    904.83/1,248.42 = 531.81/x
  3. Step 3: Cross multiply
    904.83x = 1,248.42 × 531.81
  4. Step 4: Simplify right side
    904.83x = 663,922.24
  5. Step 5: Solve for x
    x = 663,922.24/904.83
  6. Step 6: Final answer
    x = 733.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.