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Finding the Fourth Proportional to 430.77, 593.84 and 318.57

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Solution

The fourth proportional to 430.77, 593.84 and 318.57 is: 439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 593.84 = 318.57 : x
  2. Step 2: Convert to fraction form
    430.77/593.84 = 318.57/x
  3. Step 3: Cross multiply
    430.77x = 593.84 × 318.57
  4. Step 4: Simplify right side
    430.77x = 189,179.61
  5. Step 5: Solve for x
    x = 189,179.61/430.77
  6. Step 6: Final answer
    x = 439.17

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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.