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Finding the Fourth Proportional to 504.12, 695.86 and 305.07

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Solution

The fourth proportional to 504.12, 695.86 and 305.07 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 695.86 = 305.07 : x
  2. Step 2: Convert to fraction form
    504.12/695.86 = 305.07/x
  3. Step 3: Cross multiply
    504.12x = 695.86 × 305.07
  4. Step 4: Simplify right side
    504.12x = 212,282.53
  5. Step 5: Solve for x
    x = 212,282.53/504.12
  6. Step 6: Final answer
    x = 421.10

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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.