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Finding the Fourth Proportional to 504.19, 695.79 and 283.12

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Solution

The fourth proportional to 504.19, 695.79 and 283.12 is: 390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 695.79 = 283.12 : x
  2. Step 2: Convert to fraction form
    504.19/695.79 = 283.12/x
  3. Step 3: Cross multiply
    504.19x = 695.79 × 283.12
  4. Step 4: Simplify right side
    504.19x = 196,992.06
  5. Step 5: Solve for x
    x = 196,992.06/504.19
  6. Step 6: Final answer
    x = 390.71

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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.