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Finding the Fourth Proportional to 904.47, 1,248.15 and 506.15

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Solution

The fourth proportional to 904.47, 1,248.15 and 506.15 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.47 : 1,248.15 = 506.15 : x
  2. Step 2: Convert to fraction form
    904.47/1,248.15 = 506.15/x
  3. Step 3: Cross multiply
    904.47x = 1,248.15 × 506.15
  4. Step 4: Simplify right side
    904.47x = 631,744.88
  5. Step 5: Solve for x
    x = 631,744.88/904.47
  6. Step 6: Final answer
    x = 698.47

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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.