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Finding the Fourth Proportional to 904.59, 1,248.28 and 506.21

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Solution

The fourth proportional to 904.59, 1,248.28 and 506.21 is: 698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.59 : 1,248.28 = 506.21 : x
  2. Step 2: Convert to fraction form
    904.59/1,248.28 = 506.21/x
  3. Step 3: Cross multiply
    904.59x = 1,248.28 × 506.21
  4. Step 4: Simplify right side
    904.59x = 631,884.31
  5. Step 5: Solve for x
    x = 631,884.31/904.59
  6. Step 6: Final answer
    x = 698.53

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Double scale
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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.