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Finding the Fourth Proportional to 904.42, 1,248.11 and 506.11

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Solution

The fourth proportional to 904.42, 1,248.11 and 506.11 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.42 : 1,248.11 = 506.11 : x
  2. Step 2: Convert to fraction form
    904.42/1,248.11 = 506.11/x
  3. Step 3: Cross multiply
    904.42x = 1,248.11 × 506.11
  4. Step 4: Simplify right side
    904.42x = 631,680.95
  5. Step 5: Solve for x
    x = 631,680.95/904.42
  6. Step 6: Final answer
    x = 698.44

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Double scale
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1.5x scale

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.